| 书目名称 | Syzygies and Homotopy Theory | | 编辑 | F.E.A. Johnson | | 视频video | | | 概述 | This book is unique in presenting a systematic rehabilitation of Hilbert‘s method of syzygies in the context of non-simply connected homotopy theory.This text introduces the innovation of regarding sy | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | .The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood.. .Syzygies and Homotopy Theory. explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents, for the first time, a systematic rehabilitation of Hilbert‘s method of syzygies in the context of non-simply connected homotopy theory. The first part of the book is theoretical, formulated to allow a general finitely presented group as a fundamental group. The innovation here is to regard syzygies as stable modules rather than minimal modules. Inevitably this forces a reconsideration of the problems of noncancellation; these are confronted in the second, practical, part of the book. In particular, the second part of the book considers how the theory works out in detail for the specific examples .F.n. .´F where .F.n .is a free group of rank .n. and F is finite. Another innovation is to parametrize the first syzygy in terms of the more familiar class of stably f | | 出版日期 | Book 2012 | | 关键词 | D(2) problem; Milnor squares; R(2) problem; generalized Swan module; stable module; syzygy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-2294-4 | | isbn_softcover | 978-1-4471-5812-7 | | isbn_ebook | 978-1-4471-2294-4Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer-Verlag London Limited 2012 |
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发表于 2025-3-21 17:11:02
