Invitation to combinatorial topology:
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Mineola, N.Y.
Dover Publ.
2003
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Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017435128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | XII, 124 S. Ill. |
ISBN: | 0486427862 |
Internformat
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Datensatz im Suchindex
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adam_text | INVITATION TO COMBINATORIAL TOPOLOGY MAURICE FRECHET AND KY FAN
TRANSLATED FROM THE FRENCH, WITH SOME NOTES, BY HOWARD W. EVES DOVER
PUBLICATIONS, INC. MINEOLA, NEW YORK CONTENTS FOREWORD V TRANSLATOR S
PREFACE IX CHAPTER ONE. TOPOLOGICAL GENERALITIES 1 QUALITATIVE GEOMETRIC
PROPERTIES 1 2 COLORING GEOGRAPHICAL MAPS 2 3 THE PROBLEM OF NEIGHBORING
REGIONS 5 4 TOPOLOGY, INDIA-RUBBER GEOMETRY 6 5 HOMEOMORPHISM 7 6
TOPOLOGY, CONTINUOUS GEOMETRY 11 7 COMPARISON OF ELEMENTARY GEOMETRY,
PROJECTIVE GEOM- ETRY, AND TOPOLOGY 12 8 RELATIVE TOPOLOGICAL PROPERTIES
14 9 SET TOPOLOGY AND COMBINATORIAL TOPOLOGY 17 10 THE DEVELOPMENT OF
TOPOLOGY 19 CHAPTER TWO. TOPOLOGICAL NOTIONS ABOUT SURFACES 11
DESCARTES THEOREM 21 12 AN APPLICATION OF DESCARTES THEOREM 25 13
CHARACTERISTIC OF A SURFACE 27 14 UNILATERAL SURFACES 29 15
ORIENTABILITY AND NONORIENTABILITY 31 16 TOPOLOGICAL POLYGONS 35 17
CONSTRUCTION OF CLOSED ORIENTABLE SURFACES FROM POLYGONS BY IDENTIFYING
THEIR SIDES 36 18 CONSTRUCTION OF CLOSED NONORIENTABLE SURFACES FROM
POLYGONS BY IDENTIFYING THEIR SIDES 40 19 TOPOLOGICAL DEFINITION OF A
CLOSED SURFACE 45 XI XLI CONTENTS CHAPTER THREE. TOPOLOGICAL
CLASSIFICATION OF CLOSED SURFACES 20 THE PRINCIPAL PROBLEM IN THE
TOPOLOGY OF SURFACES 49 21 PLANAR POLYGONAL SCHEMA AND SYMBOLIC
REPRESENTATION OF A POLYHEDRON 50 22 ELEMENTARY OPERATIONS 53 23 USE OF
NORMAL FORMS OF POLYHEDRA 55 24 REDUCTION TO NORMAL FORM: I 56 25
REDUCTION TO NORMAL FORM: II 59 26 CHARACTERISTIC AND ORIENTABILITY 64
27 THE PRINCIPAL THEOREM OF THE TOPOLOGY OF CLOSED SURFACES 67 28
APPLICATION TO THE GEOMETRIC THEORY OF FUNCTIONS 69 29 GENUS AND
CONNECTION NUMBER OF CLOSED ORIENTABLE SURFACES 69 BIBLIOGRAPHY 73
TRANSLATOR S NOTES 75 INDEX 120
|
any_adam_object | 1 |
author | Fréchet, Maurice 1878-1973 Fan, Ky 1914-2010 |
author_GND | (DE-588)117710199 (DE-588)119350246 |
author_facet | Fréchet, Maurice 1878-1973 Fan, Ky 1914-2010 |
author_role | aut aut |
author_sort | Fréchet, Maurice 1878-1973 |
author_variant | m f mf k f kf |
building | Verbundindex |
bvnumber | BV023792922 |
ctrlnum | (OCoLC)805059476 (DE-599)BVBBV023792922 |
dewey-full | 514.22 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.22 |
dewey-search | 514.22 |
dewey-sort | 3514.22 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV023792922 |
illustrated | Illustrated |
indexdate | 2024-12-20T13:34:14Z |
institution | BVB |
isbn | 0486427862 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017435128 |
oclc_num | 805059476 |
open_access_boolean | |
owner | DE-634 |
owner_facet | DE-634 |
physical | XII, 124 S. Ill. |
publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | Dover Publ. |
record_format | marc |
spellingShingle | Fréchet, Maurice 1878-1973 Fan, Ky 1914-2010 Invitation to combinatorial topology Kombinatorische Topologie (DE-588)4137530-0 gnd |
subject_GND | (DE-588)4137530-0 |
title | Invitation to combinatorial topology |
title_alt | Introduction à la topologie combinatoire |
title_auth | Invitation to combinatorial topology |
title_exact_search | Invitation to combinatorial topology |
title_full | Invitation to combinatorial topology Maurice Fréchet and Ky Fan |
title_fullStr | Invitation to combinatorial topology Maurice Fréchet and Ky Fan |
title_full_unstemmed | Invitation to combinatorial topology Maurice Fréchet and Ky Fan |
title_short | Invitation to combinatorial topology |
title_sort | invitation to combinatorial topology |
topic | Kombinatorische Topologie (DE-588)4137530-0 gnd |
topic_facet | Kombinatorische Topologie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017435128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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