Combinatorial Algebraic Topology

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...

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Tác giả chính: Kozlov, D. N.
Định dạng: Sách
Ngôn ngữ:English
Thông tin xuất bản: Springer 2017
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Truy cập trực tuyến:http://repository.vnu.edu.vn/handle/VNU_123/27460
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spelling oai:112.137.131.14:VNU_123-274602020-07-06T08:40:48Z Combinatorial Algebraic Topology Kozlov, D. N. Mathematics Statistics ; Algebra, Homological ; Categories (Mathematics) ; Algebraic topology ; Combinatorial topology 512.64 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 2017-04-13T03:02:42Z 2017-04-13T03:02:42Z 2008 Book http://repository.vnu.edu.vn/handle/VNU_123/27460 en 392 p. application/pdf Springer
institution Đại học Quốc Gia Hà Nội
collection DSpace
language English
topic Mathematics
Statistics ; Algebra, Homological ; Categories (Mathematics) ; Algebraic topology ; Combinatorial topology
512.64
spellingShingle Mathematics
Statistics ; Algebra, Homological ; Categories (Mathematics) ; Algebraic topology ; Combinatorial topology
512.64
Kozlov, D. N.
Combinatorial Algebraic Topology
description 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
format Book
author Kozlov, D. N.
author_facet Kozlov, D. N.
author_sort Kozlov, D. N.
title Combinatorial Algebraic Topology
title_short Combinatorial Algebraic Topology
title_full Combinatorial Algebraic Topology
title_fullStr Combinatorial Algebraic Topology
title_full_unstemmed Combinatorial Algebraic Topology
title_sort combinatorial algebraic topology
publisher Springer
publishDate 2017
url http://repository.vnu.edu.vn/handle/VNU_123/27460
work_keys_str_mv AT kozlovdn combinatorialalgebraictopology
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