Tool and object: a history and philosophy of category theory
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2007
|
| Schriftenreihe: | Science networks
32 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | 3-7643-7523-X |
| Umfang: | XXXVI, 367 S. 24 cm |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV022301655 | ||
| 003 | DE-604 | ||
| 005 | 20071220 | ||
| 007 | t| | ||
| 008 | 070307s2007 xx |||| 00||| eng d | ||
| 035 | |a (OCoLC)85242858 | ||
| 035 | |a (DE-599)BVBBV022301655 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-12 |a DE-210 |a DE-11 | ||
| 050 | 0 | |a QA169 | |
| 082 | 0 | |a 512/.62 |2 22 | |
| 084 | |a SG 590 |0 (DE-625)143069: |2 rvk | ||
| 100 | 1 | |a Krömer, Ralf |e Verfasser |0 (DE-588)132683784 |4 aut | |
| 245 | 1 | 0 | |a Tool and object |b a history and philosophy of category theory |c Ralf Krömer |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2007 | |
| 300 | |a XXXVI, 367 S. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Science networks |v 32 | |
| 500 | |a 3-7643-7523-X | ||
| 648 | 7 | |a Geschichte |2 gnd |9 rswk-swf | |
| 648 | 7 | |a Geschichte 1900-2000 |2 gnd |9 rswk-swf | |
| 650 | 7 | |a Categorieën (wiskunde) |2 gtt | |
| 650 | 4 | |a Catégories (Mathématiques) - Histoire | |
| 650 | 4 | |a Catégories (Mathématiques) - Philosophie | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Categories (Mathematics) |x History | |
| 650 | 4 | |a Categories (Mathematics) |x Philosophy | |
| 650 | 0 | 7 | |a Philosophie |0 (DE-588)4045791-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kategorientheorie |0 (DE-588)4120552-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kategorientheorie |0 (DE-588)4120552-2 |D s |
| 689 | 0 | 1 | |a Geschichte 1900-2000 |A z |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kategorientheorie |0 (DE-588)4120552-2 |D s |
| 689 | 1 | 1 | |a Philosophie |0 (DE-588)4045791-6 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 689 | 2 | 0 | |a Kategorientheorie |0 (DE-588)4120552-2 |D s |
| 689 | 2 | 1 | |a Geschichte |A z |
| 689 | 2 | |8 2\p |5 DE-604 | |
| 830 | 0 | |a Science networks |v 32 |w (DE-604)BV002495563 |9 32 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 942 | 1 | 1 | |c 509 |e 22/bsb |f 0904 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-015511634 | |
Datensatz im Suchindex
| _version_ | 1819336231372193792 |
|---|---|
| adam_text | Contents
Acknowledgements
General
Introduction
0.1
0.1.1
0.1.2
0.1.3
0.1.4
0.2
0.2.1
and a necessary change of perspective
0.2.2
0.2.3
0.2.3.1
0.2.3.2
versity. A recently rediscovered collection
0.2.4
0.3
0.3.1
0.3.2
0.3.2.1
0.3.2.2
0.3.2.3
1
1.1
1.1.1
1.1.2
mathematics
1.2
Contents
1.2.1 Formal
1.2.1.1
1.2.1.2
1.2.1.3
uses
1.2.2
1.2.2.1
1.2.2.2
and others
1.2.2.3
1.2.3
1.2.3.1
ting off
1.2.3.2
1.3
1.3.1
1.3.1.1
1.3.1.2
1.3.1.3
1.3.1.4
1.3.2
1.3.2.1
1.3.2.2
1.3.2.3
1.3.2.4
intuition?
1.3.2.5
1.3.2.6
Category theory in Algebraic Topology
2.1
2.1.1
2.1.2
2.1.2.1 Hopfs
point formula and the algebra of mappings
2.1.2.2 Hopf
2.1.2.3
always surjective
2.1.2.4
2.1.3
2.1.4
2.2
2.2.1
to the collaboration
Contents xi
2.2.1.1 Eilenberg:
2.2.1.2
2.2.1.3
2.2.2
2.2.3
cient theorems
2.2.4
2.2.5
2.2.6
2.3
2.3.1
2.3.1.1
text of their introduction
2.3.1.2
2.3.2
2.3.2.1 Eilenberg
to write the paper
2.3.2.2
general enough?
2.3.3
2.3.4
2.3.4.1
2.3.4.2
2.4 Eilenberg
2.4.1
2.4.1.1
2.4.1.2
2.4.1.3
2.4.2
2.4.3
2.5
2.5.1
2.5.2
2.6
3
3.1
3.1.1
3.1.1.1
3.1.1.2
tuitive concept
3.1.1.3
3.1.2
3.1.2.1
xii Contents
3.1.2.2
3.2
3.2.1
ogy
3.2.1.1
3.2.1.2
3.2.2
3.2.2.1
3.2.2.2
3.2.2.3
3.2.3
3.2.3.1
3.2.3.2
3.2.3.3
3.3
3.3.1
3.3.1.1
spondence
3.3.1.2
fibre spaces with structure sheaf
3.3.1.3
3.3.2
ical algebra
3.3.2.1
3.3.2.2
3.3.2.3
3.3.3
3.3.3.1
a topological space
3.3.3.2
3.3.3.3
3.3.3.4
3.3.3.5
tions and the
dieck theorem
3.3.4
3.3.4.1
3.3.4.2
3.3.4.3
that there are enough injective sheaves
3.3.4.4
3.4
3.4.1
on the abelian variable
Contents xiii
3.4.2
3.4.3
tribution
3.4.3.1
as an independent field of research?
3.4.3.2
4
4.1
4.1.1
4.1.1.1
4.1.1.2
the sets with structure paradigm
4.1.1.3
functor
4.1.1.4
predicate of having elements
4.1.2
4.1.2.1
4.1.2.2
4.1.2.3
4.2
4.2.1
4.2.2
for the Weil cohomology
4.2.3
Tannaka categories
4.3
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.2
5.2.1
5.2.2
5.2.3
5.2.3.1
5.2.3.2
5.2.3.3
5.3
5.3.1
xiv
5.3.1.1
5.3.1.2
explication
5.3.1.3
visited
5.3.1.4
5.3.1.5
5.3.2
5.3.2.1
5.3.2.2
to isomorphism
5.3.2.3
5.3.2.4
5.4
5.4.1
5.4.2
5.4.3
5.4.4
5.4.4.1
5.4.4.2
5.4.4.3
6
6.1
6.1.1
6.1.2
6.1.3
6.2
6.2.1
6.2.2
6.2.3
6.3
6.3.1
6.3.2
6.4
6.4.1
6.4.2
of category theory
6.4.2.1
disciplines
6.4.2.2
6.4.2.3
6.4.3
6.4.4
Coutente
6.4.4.1
6.4.4.2
set-theoretical foundations of category theory
6.4.4.3
Gabriel, and SGA
6.4.5
of category theory
6.4.5.1
6.4.5.2
of truth
6.4.5.3
due to category theory?
6.4.6
category theory
6.4.6.1
relative consistency of (I with ZF
6.4.6.2
category theory?
6.4.6.3
the role of large cardinal hypotheses
6.5
6.6
6.7
7
7.1
7.1.1
7.1.2
7.2
7.2.1
7.2.2
egories
7.2.3
7.3
7.3.1
try: geometric logic
7.3.2
7.3.2.1
7.3.2.2
7.4
7.4.1
7.4.2
CT
xvi Contents
7.5 General
ority
8
8.1
8.1.1
8.1.2
8.1.3
8.2
8.2.1
8.2.2
A Abbreviations
A.I Bibliographical information and related things
A.
A.
A.
A.
A.3 Bourbaki
Bibliography
Indexes
Author index
Subject index
|
| any_adam_object | 1 |
| author | Krömer, Ralf |
| author_GND | (DE-588)132683784 |
| author_facet | Krömer, Ralf |
| author_role | aut |
| author_sort | Krömer, Ralf |
| author_variant | r k rk |
| building | Verbundindex |
| bvnumber | BV022301655 |
| callnumber-first | Q - Science |
| callnumber-label | QA169 |
| callnumber-raw | QA169 |
| callnumber-search | QA169 |
| callnumber-sort | QA 3169 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SG 590 |
| ctrlnum | (OCoLC)85242858 (DE-599)BVBBV022301655 |
| dewey-full | 512/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.62 |
| dewey-search | 512/.62 |
| dewey-sort | 3512 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte gnd Geschichte 1900-2000 gnd |
| era_facet | Geschichte Geschichte 1900-2000 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02317nam a2200601 cb4500</leader><controlfield tag="001">BV022301655</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20071220 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">070307s2007 xx |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)85242858</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022301655</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA169</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.62</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SG 590</subfield><subfield code="0">(DE-625)143069:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krömer, Ralf</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)132683784</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Tool and object</subfield><subfield code="b">a history and philosophy of category theory</subfield><subfield code="c">Ralf Krömer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXXVI, 367 S.</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Science networks</subfield><subfield code="v">32</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">3-7643-7523-X</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1900-2000</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Categorieën (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Catégories (Mathématiques) - Histoire</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Catégories (Mathématiques) - Philosophie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geschichte</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Philosophie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Categories (Mathematics)</subfield><subfield code="x">History</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Categories (Mathematics)</subfield><subfield code="x">Philosophy</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Philosophie</subfield><subfield code="0">(DE-588)4045791-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Geschichte 1900-2000</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Philosophie</subfield><subfield code="0">(DE-588)4045791-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Geschichte</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Science networks</subfield><subfield code="v">32</subfield><subfield code="w">(DE-604)BV002495563</subfield><subfield code="9">32</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="942" ind1="1" ind2="1"><subfield code="c">509</subfield><subfield code="e">22/bsb</subfield><subfield code="f">0904</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015511634</subfield></datafield></record></collection> |
| id | DE-604.BV022301655 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T12:52:16Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015511634 |
| oclc_num | 85242858 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-210 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-210 DE-11 |
| physical | XXXVI, 367 S. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Science networks |
| series2 | Science networks |
| spellingShingle | Krömer, Ralf Tool and object a history and philosophy of category theory Science networks Categorieën (wiskunde) gtt Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Philosophie (DE-588)4045791-6 gnd Kategorientheorie (DE-588)4120552-2 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4120552-2 |
| title | Tool and object a history and philosophy of category theory |
| title_auth | Tool and object a history and philosophy of category theory |
| title_exact_search | Tool and object a history and philosophy of category theory |
| title_full | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_fullStr | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_full_unstemmed | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_short | Tool and object |
| title_sort | tool and object a history and philosophy of category theory |
| title_sub | a history and philosophy of category theory |
| topic | Categorieën (wiskunde) gtt Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Philosophie (DE-588)4045791-6 gnd Kategorientheorie (DE-588)4120552-2 gnd |
| topic_facet | Categorieën (wiskunde) Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Kategorientheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002495563 |
| work_keys_str_mv | AT kromerralf toolandobjectahistoryandphilosophyofcategorytheory |