Spaces with non-symmetric distance:
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Nichtbestimmte Sprache |
Veröffentlicht: |
Providence, R.I.
American Mathematical Soc.
1968
|
Ausgabe: | Repr. |
Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
34 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003545723&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 91 S. |
ISBN: | 0821812343 |
Internformat
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Datensatz im Suchindex
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adam_text | SPACES WITH NON SYMMETRIC DISTANCE 91
INDEX
Introduction 1
PART I. THE BASIC CONCEPTS
1. General Metric Spaces 5
2. Compact and Finitely Compact General Metric Spaces 6
3. Curves and their Lengths. Segments 8
4. Extremals 10
5. Example. The Minkowski Geometry 14
6. Example. The Quasihyperbolic Geometry 16
7 Local Homogeneity of E spaces. The one dimensional E spaces . 26
PART II. PERPENDICULARS AND PARALLELS
8. Convexity of Spheres and Perpendicularity 34
9 Limitspheres and Corays 40
10. Asymptotes and Parallels . 45
PART III. MOTIONS IN E SPACES
11. Axial Motions in E spaces 52
12. Translations in Straight E surfaces 58
13. Motions in Compact E spaces 62
PART IV. E SPACES WITH TRANSITIVE GROUPS OF MOTIONS
14. E spaces with Pairwise Transitive Groups of Motions 67
15. The Determination of all E surfaces with Transitive
Groups of Motions 69
PART V. S SPACES WITH NON POSITIVE CURVATURE
16. Introduction 72
17. Straightness of the Universal Covering Space 80
Appendix I. The Funk Geometry 85
Appendix II. A Quasihyperbolic Plane 88
References 90
|
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author | Zaustinsky, Eugene M. |
author_facet | Zaustinsky, Eugene M. |
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author_sort | Zaustinsky, Eugene M. |
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bvnumber | BV005674549 |
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edition | Repr. |
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genre | 1\p (DE-588)4113937-9 Hochschulschrift gnd-content |
genre_facet | Hochschulschrift |
id | DE-604.BV005674549 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T08:36:39Z |
institution | BVB |
isbn | 0821812343 |
language | Undetermined |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003545723 |
oclc_num | 310795207 |
open_access_boolean | |
owner | DE-703 DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-188 |
owner_facet | DE-703 DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-188 |
physical | 91 S. |
publishDate | 1968 |
publishDateSearch | 1968 |
publishDateSort | 1968 |
publisher | American Mathematical Soc. |
record_format | marc |
series | American Mathematical Society: Memoirs of the American Mathematical Society |
series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
spellingShingle | Zaustinsky, Eugene M. Spaces with non-symmetric distance American Mathematical Society: Memoirs of the American Mathematical Society Asymmetrische Metrik (DE-588)4199459-0 gnd Abstand (DE-588)4228463-6 gnd Finsler-Raum (DE-588)4154449-3 gnd Raum (DE-588)4048561-4 gnd |
subject_GND | (DE-588)4199459-0 (DE-588)4228463-6 (DE-588)4154449-3 (DE-588)4048561-4 (DE-588)4113937-9 |
title | Spaces with non-symmetric distance |
title_auth | Spaces with non-symmetric distance |
title_exact_search | Spaces with non-symmetric distance |
title_full | Spaces with non-symmetric distance by Eugene M. Zaustinsky |
title_fullStr | Spaces with non-symmetric distance by Eugene M. Zaustinsky |
title_full_unstemmed | Spaces with non-symmetric distance by Eugene M. Zaustinsky |
title_short | Spaces with non-symmetric distance |
title_sort | spaces with non symmetric distance |
topic | Asymmetrische Metrik (DE-588)4199459-0 gnd Abstand (DE-588)4228463-6 gnd Finsler-Raum (DE-588)4154449-3 gnd Raum (DE-588)4048561-4 gnd |
topic_facet | Asymmetrische Metrik Abstand Finsler-Raum Raum Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003545723&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT zaustinskyeugenem spaceswithnonsymmetricdistance |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 001z 2001 B 990-29/35 Lageplan |
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Exemplar 1 |
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