Lectures on polyhedral topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bombay
Tata Institute of Fundamental Research
1967
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| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
43 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | III, 260, IV Bl. |
Internformat
MARC
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| 100 | 1 | |a Stallings, John R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on polyhedral topology |c by John R. Stallings. Notes by G. Ananda Swarup |
| 264 | 1 | |a Bombay |b Tata Institute of Fundamental Research |c 1967 | |
| 300 | |a III, 260, IV Bl. | ||
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 43 | |
| 650 | 4 | |a Topologie | |
| 650 | 4 | |a Combinatorial topology | |
| 650 | 4 | |a Polyhedra | |
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| 810 | 2 | |a Mathematics |t Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics |v 43 |w (DE-604)BV000015654 |9 43 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
Paee
Introduction. ... 1
Chapter I : Polyhedra 4
1.1. Definition of polyhedra 4
1.2. Convexity 5
1.3. Open convey sets 12
1.4. The calculus of boundaries 16
1.5. Convex cells 22
1.6. Presentations of polyhedra 27
1.7. Refinement by bisection 30
Chapter II : Triangulation. 35
2.1. Trian^ulation of polyhedra 35
2.2; Triangulation of maps 37
Chapter III J Topology and approximation. 43
3.1. Neighbourhoods that retract 44
3 2. Approximation theorem 46
3.3. i azur s criterion 51
Chapter IV : Link and star technique. ... 54
4. 1. Abstract theory I 54
4.2. Abstract theory II 5S
4.3. Geometric theory ... , 61
4.4. Polyhedral cells, spheres and Manifolds . 72
4.5 Recalling homotopy facts ... ... ... 79
Page
Chapter V : General position. ... 82
5. 1. J Mondeseneracy ... ... ... 83
5.2. W 0 (n) spaces. Definition and
elementary properties 86
5.3. Characterisations of N D (n) spaces ... 89
5.4. Singularity dimension 98
Chapter VI : Regular neighbourhoods. 115
6.1. Isotopy 116
6.2. Centerings, isotopies, neighbourhoods
of subpolyhedra 118
6.3. Definition of Regular Neighbourhoods ... 124
6.4. Collaring 127
6.5. Absolute regular neighbourhoods
and Newnanish theorem 136
6.6. Collapsing ... ... ... 141
6.7. Homogeneous collapsing .. 145
6.8. Regular neighbourhood theorem 149
6.9. Some applications and remarks 161
6.10. Conclusion 165
Chapter VII : Regular collapsing. 168
7.1. Regular collapsing 168
7.2. Applications to unknotting... 179
Appendix to Chapter VII 184
Chapter VIII : Handles and s cobordism 191
8.1. Handles 191
Page
?.2. Helative manifolds and their
handle presentations 193
~.3 statement of the theorems,
anpiications, comments 193
8.4. Modification of handle presentations ... 210
8.5. Cancellation of handles 215
8.6. Insertion of cancelling: pairs of handles. 222
8.7. Elimination of 0 and 1 handles .... 231
8.8. Dual is at ion 235
8.9. J gebraic description ... 238
8.10. Proofs of the main theorems 246
8.11. Proof of the isotopy lemma 253
|
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| ctrlnum | (OCoLC)142566 (DE-599)BVBBV004545705 |
| 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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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:06Z |
| institution | BVB |
| language | English |
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| physical | III, 260, IV Bl. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Stallings, John R. Verfasser aut Lectures on polyhedral topology by John R. Stallings. Notes by G. Ananda Swarup Bombay Tata Institute of Fundamental Research 1967 III, 260, IV Bl. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 43 Topologie Combinatorial topology Polyhedra Topologie (DE-588)4060425-1 gnd rswk-swf Polyeder (DE-588)4132101-7 gnd rswk-swf Polyeder (DE-588)4132101-7 s Topologie (DE-588)4060425-1 s DE-604 Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 43 (DE-604)BV000015654 43 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stallings, John R. Lectures on polyhedral topology Topologie Combinatorial topology Polyhedra Topologie (DE-588)4060425-1 gnd Polyeder (DE-588)4132101-7 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4132101-7 |
| title | Lectures on polyhedral topology |
| title_auth | Lectures on polyhedral topology |
| title_exact_search | Lectures on polyhedral topology |
| title_full | Lectures on polyhedral topology by John R. Stallings. Notes by G. Ananda Swarup |
| title_fullStr | Lectures on polyhedral topology by John R. Stallings. Notes by G. Ananda Swarup |
| title_full_unstemmed | Lectures on polyhedral topology by John R. Stallings. Notes by G. Ananda Swarup |
| title_short | Lectures on polyhedral topology |
| title_sort | lectures on polyhedral topology |
| topic | Topologie Combinatorial topology Polyhedra Topologie (DE-588)4060425-1 gnd Polyeder (DE-588)4132101-7 gnd |
| topic_facet | Topologie Combinatorial topology Polyhedra Polyeder |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT stallingsjohnr lecturesonpolyhedraltopology |