Lectures on Nielsen fixed point theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1983
|
| Schriftenreihe: | Contemporary Mathematics
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Some material occuring within will appear in 1983 in the Pacific Journal of Mathematics under the title 'On the Computation of the Nielsen Number'." Erschien in 106, 105-113 (1983) |
| Beschreibung: | VII, 110 Seiten |
| ISBN: | 0821850148 |
Internformat
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| 246 | 1 | 3 | |a Nielsen fixed point theory |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
Introduction 1
I. Fixed point classes and the Nielsen number h
§1. Lifting classes and fixed point classes 7
§2. The influence of a homotopy 7
§3. The fixed point index 11
§U. Nielsen number and its homotopy invariance 17
§5. The commutativity 19
§6. The least number of fixed points 22
II. Computation of the Nielsen number 24
§1. Coordinates for lifting classes 24
§2. A lower bound for the Reidemeister number 27
§3. The trace subgroup of cyclic homotopies 29
§1+. Permutations induced by cyclic homotopies 33
§5. Polyhedra with a finite fundamental group 36
§6. Converses of the Lefschetz fixed point theorem 38
III. The fixed point class functor 41
§1. The category of self maps and the fixed point class functor 41
§2. Fixed point classes modulo a normal subgroup 48
§3. Fixed point classes of the iterates 54
§k. The least number of periodic points 63
Tl TABLE OF COHTEHTS
IV. Fixed point classes of a fiber map 73
§1. Fiber maps 73
§2. Fixed point classes in the fiber 79
§3. Essential fixed point classes in the total space 84
§i+. Product formulas for the Hielsen number 87
Historical Index 94
Bibliography 97
Index 100
|
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| dewey-ones | 514 - Topology |
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| dewey-search | 514/.2 |
| dewey-sort | 3514 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV000292231 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:11:47Z |
| institution | BVB |
| isbn | 0821850148 |
| language | English |
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| physical | VII, 110 Seiten |
| psigel | TUB-www |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Contemporary Mathematics |
| series2 | Contemporary Mathematics |
| spelling | Jiang, Boju Verfasser aut Lectures on Nielsen fixed point theory Boju Jiang Nielsen fixed point theory Providence, RI American Mathematical Society 1983 VII, 110 Seiten txt rdacontent n rdamedia nc rdacarrier Contemporary Mathematics 14 "Some material occuring within will appear in 1983 in the Pacific Journal of Mathematics under the title 'On the Computation of the Nielsen Number'." Erschien in 106, 105-113 (1983) Homotopia larpcal Point fixe, Théorème du Point fixe, Théorème du ram Recouvrements (Espaces topologiques) Recouvrements (espaces topologiques) ram Topologia Algebrica larpcal Covering spaces (Topology) Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 s DE-604 Contemporary Mathematics 14 (DE-604)BV000003365 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000177778&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jiang, Boju Lectures on Nielsen fixed point theory Contemporary Mathematics Homotopia larpcal Point fixe, Théorème du Point fixe, Théorème du ram Recouvrements (Espaces topologiques) Recouvrements (espaces topologiques) ram Topologia Algebrica larpcal Covering spaces (Topology) Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| subject_GND | (DE-588)4293945-8 |
| title | Lectures on Nielsen fixed point theory |
| title_alt | Nielsen fixed point theory |
| title_auth | Lectures on Nielsen fixed point theory |
| title_exact_search | Lectures on Nielsen fixed point theory |
| title_full | Lectures on Nielsen fixed point theory Boju Jiang |
| title_fullStr | Lectures on Nielsen fixed point theory Boju Jiang |
| title_full_unstemmed | Lectures on Nielsen fixed point theory Boju Jiang |
| title_short | Lectures on Nielsen fixed point theory |
| title_sort | lectures on nielsen fixed point theory |
| topic | Homotopia larpcal Point fixe, Théorème du Point fixe, Théorème du ram Recouvrements (Espaces topologiques) Recouvrements (espaces topologiques) ram Topologia Algebrica larpcal Covering spaces (Topology) Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| topic_facet | Homotopia Point fixe, Théorème du Recouvrements (Espaces topologiques) Recouvrements (espaces topologiques) Topologia Algebrica Covering spaces (Topology) Fixed point theory Fixpunkttheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000177778&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003365 |
| work_keys_str_mv | AT jiangboju lecturesonnielsenfixedpointtheory AT jiangboju nielsenfixedpointtheory |