The finiteness obstruction of C. T. C. Wall:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
New York, NY u.a.
New York, NY u.a.
1989
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 194 S. |
| ISBN: | 0471623067 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV013496811 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 001215s1989 |||| 00||| und d | ||
| 020 | |a 0471623067 |9 0-471-62306-7 | ||
| 035 | |a (OCoLC)243267796 | ||
| 035 | |a (DE-599)BVBBV013496811 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | |a und | ||
| 049 | |a DE-19 | ||
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 100 | 1 | |a Varadarajan, Kalathoor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The finiteness obstruction of C. T. C. Wall |c Kalathoor Varadarajan |
| 264 | 1 | |a New York, NY u.a. |b New York, NY u.a. |c 1989 | |
| 300 | |a X, 194 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Homotopietheorie |0 (DE-588)4128142-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a CW-Komplex |0 (DE-588)4148419-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a K-Theorie |0 (DE-588)4033335-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 0 | 1 | |a K-Theorie |0 (DE-588)4033335-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 1 | 1 | |a Homotopietheorie |0 (DE-588)4128142-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 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=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009212632 | ||
Record in the Search Index
| _version_ | 1804128287706841088 |
|---|---|
| adam_text | Contents
Chapter 1 CW Complexes and J. H. C. Whitehead s Theorems 1
1 Weak Homotopy Equivalences and Homology Equivalences 1
2 CW Complexes 5
3 Spaces Dominated by CW Complexes 11
4 An Example 20
5 Postnikov Systems 20
Chapter 2 E. Dror s Generalization of Whitehead s Theorem TJ
1 Stallings Theorem 27
2 Nilpotent Action of a Group on Another Group 30
3 Nilpotent Spaces 45
4 Nilpotence of Semi Direct Products 46
5 Nilpotence of Classifying Spaces 49
Chapter 3 Grothendieck Groups 53
1 Definition of K0(R), K0(R), G0(R), G0(R), and Their Basic
Properties 53
2 Induced Homomorphisms and Restriction Maps 57
3 Some Examples 58
4 Functoriality of Ko 61
5 Grothendieck s Theorem 64
Chapter 4 Relationship between K0(R) and the Ideal Class Group
When RIsa Dedekind Domain 79
1 Integral Elements and Dedekind Domains 79
2 Integers in Algebraic Number Fields 83
3 Fractional Ideals and the Class Group 87
Chapter 5 Dock Sang Rim s Theorem 103
1 Complete Cohomology of it 103
2 Weakly Projective and Weakly Injective Modules 108
ix
x Contents
3 p Groups 119
4 Cohomologically Trivial Modules 125
5 K0(Zir) When n Is a Cyclic Group of Order p, with p a prime 129
Chapter 6 Finiteness Obstruction of C. T. C. Wall 137
1 Homotopy Domination 137
2 Homotopy Type of Finite Dimensional (Respectively, Finite)
Complexes 149
3 A Product Formula for Wall s Obstruction 163
Chapter 7 Finitely Dominated Nilpotent Spaces 171
1 Conditions for Finite Domination in the Nilpotent Case 171
2 Finitely Dominated Nilpotent Spaces with a Finite
Fundamental Group 180
3 Wall Invariant of SFP Complexes 185
References 191
Index 193
|
| any_adam_object | 1 |
| author | Varadarajan, Kalathoor |
| author_facet | Varadarajan, Kalathoor |
| author_role | aut |
| author_sort | Varadarajan, Kalathoor |
| author_variant | k v kv |
| building | Verbundindex |
| bvnumber | BV013496811 |
| classification_rvk | SK 300 |
| ctrlnum | (OCoLC)243267796 (DE-599)BVBBV013496811 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01453nam a2200385 c 4500</leader><controlfield tag="001">BV013496811</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">001215s1989 |||| 00||| und d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471623067</subfield><subfield code="9">0-471-62306-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243267796</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013496811</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=" " ind2=" "><subfield code="a">und</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</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="100" ind1="1" ind2=" "><subfield code="a">Varadarajan, Kalathoor</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The finiteness obstruction of C. T. C. Wall</subfield><subfield code="c">Kalathoor Varadarajan</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY u.a.</subfield><subfield code="b">New York, NY u.a.</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 194 S.</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="650" ind1="0" ind2="7"><subfield code="a">Homotopietheorie</subfield><subfield code="0">(DE-588)4128142-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">K-Theorie</subfield><subfield code="0">(DE-588)4033335-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">K-Theorie</subfield><subfield code="0">(DE-588)4033335-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Homotopietheorie</subfield><subfield code="0">(DE-588)4128142-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</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=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009212632</subfield></datafield></record></collection> |
| id | DE-604.BV013496811 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:51Z |
| institution | BVB |
| isbn | 0471623067 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009212632 |
| oclc_num | 243267796 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | X, 194 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | New York, NY u.a. |
| record_format | marc |
| spelling | Varadarajan, Kalathoor Verfasser aut The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan New York, NY u.a. New York, NY u.a. 1989 X, 194 S. txt rdacontent n rdamedia nc rdacarrier Homotopietheorie (DE-588)4128142-1 gnd rswk-swf CW-Komplex (DE-588)4148419-8 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf CW-Komplex (DE-588)4148419-8 s K-Theorie (DE-588)4033335-8 s DE-604 Homotopietheorie (DE-588)4128142-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varadarajan, Kalathoor The finiteness obstruction of C. T. C. Wall Homotopietheorie (DE-588)4128142-1 gnd CW-Komplex (DE-588)4148419-8 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4128142-1 (DE-588)4148419-8 (DE-588)4033335-8 |
| title | The finiteness obstruction of C. T. C. Wall |
| title_auth | The finiteness obstruction of C. T. C. Wall |
| title_exact_search | The finiteness obstruction of C. T. C. Wall |
| title_full | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_fullStr | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_full_unstemmed | The finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan |
| title_short | The finiteness obstruction of C. T. C. Wall |
| title_sort | the finiteness obstruction of c t c wall |
| topic | Homotopietheorie (DE-588)4128142-1 gnd CW-Komplex (DE-588)4148419-8 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Homotopietheorie CW-Komplex K-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212632&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT varadarajankalathoor thefinitenessobstructionofctcwall |