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Titlebook: Homotopy Theoretic Methods in Group Cohomology; William G. Dwyer,Hans-Werner Henn Textbook 2001 Springer Basel AG 2001 Algebraic topology.

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发表于 2025-3-21 17:04:44 | 显示全部楼层 |阅读模式
书目名称Homotopy Theoretic Methods in Group Cohomology
编辑William G. Dwyer,Hans-Werner Henn
视频videohttp://file.papertrans.cn/429/428174/428174.mp4
丛书名称Advanced Courses in Mathematics - CRM Barcelona
图书封面Titlebook: Homotopy Theoretic Methods in Group Cohomology;  William G. Dwyer,Hans-Werner Henn Textbook 2001 Springer Basel AG 2001 Algebraic topology.
描述This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces
出版日期Textbook 2001
关键词Algebraic topology; Homotopy; cohomology; group theory; homology; homotopy theory; representation theory
版次1
doihttps://doi.org/10.1007/978-3-0348-8356-6
isbn_softcover978-3-7643-6605-6
isbn_ebook978-3-0348-8356-6Series ISSN 2297-0304 Series E-ISSN 2297-0312
issn_series 2297-0304
copyrightSpringer Basel AG 2001
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发表于 2025-3-21 21:57:33 | 显示全部楼层
Textbook 2001ical properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces
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t about the nature, causes, underlying mechanisms, diagnosis, and treatment of autism. We hope it will help the many friends, colleagues, families, and interested citizens who have expressed their interest in a publication of this kind. v Acknowledgments A project ofthis scope could not have been completed wi978-0-306-45547-6978-1-4757-9343-7
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W. G. Dwyert about the nature, causes, underlying mechanisms, diagnosis, and treatment of autism. We hope it will help the many friends, colleagues, families, and interested citizens who have expressed their interest in a publication of this kind. v Acknowledgments A project ofthis scope could not have been completed wi978-0-306-45547-6978-1-4757-9343-7
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https://doi.org/10.1007/978-3-0348-8356-6Algebraic topology; Homotopy; cohomology; group theory; homology; homotopy theory; representation theory
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978-3-7643-6605-6Springer Basel AG 2001
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Advanced Courses in Mathematics - CRM Barcelonahttp://image.papertrans.cn/h/image/428174.jpg
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Textbook 2001e at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohom
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