A Course on Surgery Theory : : (AMS-211) / / Stanley Chang, Shmuel Weinberger.
An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©2021 |
Year of Publication: | 2021 |
Language: | English |
Series: | Annals of Mathematics Studies ;
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Physical Description: | 1 online resource (472 p.) :; 14 b/w illus. |
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Chang, Stanley, author. aut http://id.loc.gov/vocabulary/relators/aut A Course on Surgery Theory : (AMS-211) / Stanley Chang, Shmuel Weinberger. Princeton, NJ : Princeton University Press, [2021] ©2021 1 online resource (472 p.) : 14 b/w illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 365 Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) MATHEMATICS / Topology. bisacsh Borel conjecture. Chapman-Ferry. Farrell-Hsiang. Kirby-Siebenmann. L-theory. Novikov conjecture. PL category. PL topology. algebraic topology. assembly map. assembly perspective on surgery. bounded topology. classification of manifolds. controlled topology. differential topology. fibration. flat manifolds. homology manifolds. homology surgery. homotopy invariant. homotopy theory. index theorem. induction theory. manifold theory. quadratic form theory. quadratic form. representation theory. smooth category. splitting theorems. stratified spaces. surgery exact sequence. surgery obstruction group. tangent bundle. topological category. topological surgery theory. topology. Weinberger, Shmuel, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021 9783110739121 https://doi.org/10.1515/9780691200354?locatt=mode:legacy https://www.degruyter.com/isbn/9780691200354 Cover https://www.degruyter.com/document/cover/isbn/9780691200354/original |
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Chang, Stanley, Chang, Stanley, Weinberger, Shmuel, |
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Chang, Stanley, Chang, Stanley, Weinberger, Shmuel, A Course on Surgery Theory : (AMS-211) / Annals of Mathematics Studies ; Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index |
author_facet |
Chang, Stanley, Chang, Stanley, Weinberger, Shmuel, Weinberger, Shmuel, Weinberger, Shmuel, |
author_variant |
s c sc s c sc s w sw |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Weinberger, Shmuel, Weinberger, Shmuel, |
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s w sw |
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Chang, Stanley, |
title |
A Course on Surgery Theory : (AMS-211) / |
title_sub |
(AMS-211) / |
title_full |
A Course on Surgery Theory : (AMS-211) / Stanley Chang, Shmuel Weinberger. |
title_fullStr |
A Course on Surgery Theory : (AMS-211) / Stanley Chang, Shmuel Weinberger. |
title_full_unstemmed |
A Course on Surgery Theory : (AMS-211) / Stanley Chang, Shmuel Weinberger. |
title_auth |
A Course on Surgery Theory : (AMS-211) / |
title_alt |
Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index |
title_new |
A Course on Surgery Theory : |
title_sort |
a course on surgery theory : (ams-211) / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2021 |
physical |
1 online resource (472 p.) : 14 b/w illus. |
contents |
Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index |
isbn |
9780691200354 9783110754001 9783110753776 9783110754131 9783110753905 9783110494914 9783110739121 |
url |
https://doi.org/10.1515/9780691200354?locatt=mode:legacy https://www.degruyter.com/isbn/9780691200354 https://www.degruyter.com/document/cover/isbn/9780691200354/original |
illustrated |
Illustrated |
doi_str_mv |
10.1515/9780691200354?locatt=mode:legacy |
oclc_num |
1228034730 |
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AT changstanley acourseonsurgerytheoryams211 AT weinbergershmuel acourseonsurgerytheoryams211 AT changstanley courseonsurgerytheoryams211 AT weinbergershmuel courseonsurgerytheoryams211 |
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ids_txt_mv |
(DE-B1597)570995 (OCoLC)1228034730 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021 |
is_hierarchy_title |
A Course on Surgery Theory : (AMS-211) / |
container_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English |
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