Lectures on Nielsen fixed point theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1983
|
| Series: | Contemporary Mathematics
14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "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) |
| Physical Description: | VII, 110 Seiten |
| ISBN: | 0821850148 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000292231 | ||
| 003 | DE-604 | ||
| 005 | 20200506 | ||
| 007 | t | ||
| 008 | 870612s1983 |||| 00||| eng d | ||
| 020 | |a 0821850148 |9 0-8218-5014-8 | ||
| 035 | |a (OCoLC)8974830 | ||
| 035 | |a (DE-599)BVBBV000292231 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-384 |a DE-739 |a DE-355 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA612.24 | |
| 082 | 0 | |a 514/.2 |2 19 | |
| 084 | |a SI 805 |0 (DE-625)143193: |2 rvk | ||
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 084 | |a 55M20 |2 msc | ||
| 100 | 1 | |a Jiang, Boju |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on Nielsen fixed point theory |c Boju Jiang |
| 246 | 1 | 3 | |a Nielsen fixed point theory |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1983 | |
| 300 | |a VII, 110 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics |v 14 | |
| 500 | |a "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) | ||
| 650 | 7 | |a Homotopia |2 larpcal | |
| 650 | 4 | |a Point fixe, Théorème du | |
| 650 | 7 | |a Point fixe, Théorème du |2 ram | |
| 650 | 4 | |a Recouvrements (Espaces topologiques) | |
| 650 | 7 | |a Recouvrements (espaces topologiques) |2 ram | |
| 650 | 7 | |a Topologia Algebrica |2 larpcal | |
| 650 | 4 | |a Covering spaces (Topology) | |
| 650 | 4 | |a Fixed point theory | |
| 650 | 0 | 7 | |a Fixpunkttheorie |0 (DE-588)4293945-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fixpunkttheorie |0 (DE-588)4293945-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Contemporary Mathematics |v 14 |w (DE-604)BV000003365 |9 14 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000177778 | ||
Record in the Search Index
| _version_ | 1804114756827611136 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Jiang, Boju |
| author_facet | Jiang, Boju |
| author_role | aut |
| author_sort | Jiang, Boju |
| author_variant | b j bj |
| building | Verbundindex |
| bvnumber | BV000292231 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.24 |
| callnumber-search | QA612.24 |
| callnumber-sort | QA 3612.24 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 805 SK 300 |
| ctrlnum | (OCoLC)8974830 (DE-599)BVBBV000292231 |
| dewey-full | 514/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.2 |
| dewey-search | 514/.2 |
| dewey-sort | 3514 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02075nam a2200517 cb4500</leader><controlfield tag="001">BV000292231</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200506 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1983 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821850148</subfield><subfield code="9">0-8218-5014-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)8974830</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000292231</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA612.24</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.2</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 805</subfield><subfield code="0">(DE-625)143193:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">55M20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jiang, Boju</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on Nielsen fixed point theory</subfield><subfield code="c">Boju Jiang</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Nielsen fixed point theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 110 Seiten</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">Contemporary Mathematics</subfield><subfield code="v">14</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"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)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homotopia</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Point fixe, Théorème du</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Point fixe, Théorème du</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Recouvrements (Espaces topologiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Recouvrements (espaces topologiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Topologia Algebrica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Covering spaces (Topology)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fixed point theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fixpunkttheorie</subfield><subfield code="0">(DE-588)4293945-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fixpunkttheorie</subfield><subfield code="0">(DE-588)4293945-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Contemporary Mathematics</subfield><subfield code="v">14</subfield><subfield code="w">(DE-604)BV000003365</subfield><subfield code="9">14</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=000177778&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000177778</subfield></datafield></record></collection> |
| id | DE-604.BV000292231 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:11:47Z |
| institution | BVB |
| isbn | 0821850148 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000177778 |
| oclc_num | 8974830 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
| 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 |