On Thom Spectra, Orientability, and Cobordism:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | For many years, algebraic topology rests on three legs: "ordinary" cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong's encyclopaedic and influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories), framed by (co)homology theories and spectra. From the Foreword by Haynes Miller The author has also performed a service to the history of science in this book, giving detailed attributions. This same care makes the book easy to use by the student, for when proofs are not given, specific references are. From the reviews: "… This is an important, formidable monograph ..... The readers interested in pursuing this line of research will find it enormously helpful to have the results assembled in one place with an unified, brilliant exposition." Zentralblatt Math 906.1999 "This book provides an excellent and thorough treatment of various topics related to cobordism. It should become an indispensable tool for advanced graduate students and workers in algebraic topology. …" MathSciNet MR1627486 |
| Beschreibung: | 1 Online-Ressource (XII, 590 p) |
| ISBN: | 9783540777519 9783540620433 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-540-77751-9 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-77751-9 |
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| id | DE-604.BV042422407 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783540777519 9783540620433 |
| issn | 1439-7382 |
| language | English |
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| spelling | Rudyak, Yuli B. Verfasser aut On Thom Spectra, Orientability, and Cobordism by Yuli B. Rudyak Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XII, 590 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 For many years, algebraic topology rests on three legs: "ordinary" cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong's encyclopaedic and influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories), framed by (co)homology theories and spectra. From the Foreword by Haynes Miller The author has also performed a service to the history of science in this book, giving detailed attributions. This same care makes the book easy to use by the student, for when proofs are not given, specific references are. From the reviews: "… This is an important, formidable monograph ..... The readers interested in pursuing this line of research will find it enormously helpful to have the results assembled in one place with an unified, brilliant exposition." Zentralblatt Math 906.1999 "This book provides an excellent and thorough treatment of various topics related to cobordism. It should become an indispensable tool for advanced graduate students and workers in algebraic topology. …" MathSciNet MR1627486 Mathematics Algebra Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Kobordismus (DE-588)4148171-9 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 s K-Theorie (DE-588)4033335-8 s Kobordismus (DE-588)4148171-9 s 1\p DE-604 Topologische Mannigfaltigkeit (DE-588)4185712-4 s 2\p DE-604 https://doi.org/10.1007/978-3-540-77751-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rudyak, Yuli B. On Thom Spectra, Orientability, and Cobordism Mathematics Algebra Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Kohomologietheorie (DE-588)4164610-1 gnd Kobordismus (DE-588)4148171-9 gnd K-Theorie (DE-588)4033335-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| subject_GND | (DE-588)4164610-1 (DE-588)4148171-9 (DE-588)4033335-8 (DE-588)4185712-4 |
| title | On Thom Spectra, Orientability, and Cobordism |
| title_auth | On Thom Spectra, Orientability, and Cobordism |
| title_exact_search | On Thom Spectra, Orientability, and Cobordism |
| title_full | On Thom Spectra, Orientability, and Cobordism by Yuli B. Rudyak |
| title_fullStr | On Thom Spectra, Orientability, and Cobordism by Yuli B. Rudyak |
| title_full_unstemmed | On Thom Spectra, Orientability, and Cobordism by Yuli B. Rudyak |
| title_short | On Thom Spectra, Orientability, and Cobordism |
| title_sort | on thom spectra orientability and cobordism |
| topic | Mathematics Algebra Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Kohomologietheorie (DE-588)4164610-1 gnd Kobordismus (DE-588)4148171-9 gnd K-Theorie (DE-588)4033335-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| topic_facet | Mathematics Algebra Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Kohomologietheorie Kobordismus K-Theorie Topologische Mannigfaltigkeit |
| url | https://doi.org/10.1007/978-3-540-77751-9 |
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