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Titlebook: Combinatorial Algebraic Topology; Dmitry Kozlov Textbook 20081st edition Springer-Verlag Berlin Heidelberg 2008 Algebraic topology.Charact

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书目名称Combinatorial Algebraic Topology
编辑Dmitry Kozlov
视频videohttp://file.papertrans.cn/230/229874/229874.mp4
概述Includes supplementary material:
丛书名称Algorithms and Computation in Mathematics
图书封面Titlebook: Combinatorial Algebraic Topology;  Dmitry Kozlov Textbook 20081st edition Springer-Verlag Berlin Heidelberg 2008 Algebraic topology.Charact
描述.Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Our presentation of standard topics is quite different from that of existing texts. In addition, several new themes, such as spectral sequences, are included. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms. The main benefit for the reader will be the prospect of fairly quickly getting to the forefront of modern research in this active field..
出版日期Textbook 20081st edition
关键词Algebraic topology; Characteristic class; Homotopy; cofibration; combinatorics; discrete mathematics; fibr
版次1
doihttps://doi.org/10.1007/978-3-540-71962-5
isbn_softcover978-3-540-73051-4
isbn_ebook978-3-540-71962-5Series ISSN 1431-1550
issn_series 1431-1550
copyrightSpringer-Verlag Berlin Heidelberg 2008
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https://doi.org/10.1057/9781137025135mpler computations of homology groups of some chain complexes. The natural question of putting the computed information together to yield the homology groups of the original complex has an elegant algebraic answer due to Eilenberg: the so-called ..
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Situation Recognition Using EventShopom the one-element category associated to the group . to .. Then, as we have pointed out earlier in Subsection 4.4.3, it is natural to define . to be the colimit of this functor. As a result, . can in general turn out to be an acyclic category, which is not necessarily a poset.
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https://doi.org/10.1007/978-3-540-71962-5Algebraic topology; Characteristic class; Homotopy; cofibration; combinatorics; discrete mathematics; fibr
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