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Titlebook: Basic Algebraic Topology and its Applications; Mahima Ranjan Adhikari Textbook 2016 Springer India 2016 Homotopy and cohomotopy group.Vect

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樓主
發(fā)表于 2025-3-21 19:59:27 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Basic Algebraic Topology and its Applications
影響因子2023Mahima Ranjan Adhikari
視頻videohttp://file.papertrans.cn/181/180953/180953.mp4
發(fā)行地址Discusses the basic concepts of algebraic topology with numerous related illustrations and applications.Approaches the topic nearly “from scratch” and accompanies students through its natural developm
圖書封面Titlebook: Basic Algebraic Topology and its Applications;  Mahima Ranjan Adhikari Textbook 2016 Springer India 2016 Homotopy and cohomotopy group.Vect
影響因子This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike..Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical phys
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沙發(fā)
發(fā)表于 2025-3-21 22:55:17 | 只看該作者
Textbook 2016pplications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical n
板凳
發(fā)表于 2025-3-22 02:42:53 | 只看該作者
地板
發(fā)表于 2025-3-22 07:35:41 | 只看該作者
https://doi.org/10.1007/978-3-642-45950-4, the books Adhikari and Adhikari (Basic Modern Algebra with Applications, .), Dugundji (Topology, .), Herstein (Topics in Algebra, .), Maunder (Algebraic Topology, .), Spanier (Algebraic Topology, .), and some other books are referred in Bibliography.
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發(fā)表于 2025-3-22 10:15:52 | 只看該作者
Prerequisite Concepts and Notations,, the books Adhikari and Adhikari (Basic Modern Algebra with Applications, .), Dugundji (Topology, .), Herstein (Topics in Algebra, .), Maunder (Algebraic Topology, .), Spanier (Algebraic Topology, .), and some other books are referred in Bibliography.
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發(fā)表于 2025-3-22 16:32:07 | 只看該作者
https://doi.org/10.1007/978-81-322-2843-1Homotopy and cohomotopy group; Vector bundle; Homology and cohomology group; Eilenberg-Steenrod axioms;
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發(fā)表于 2025-3-22 20:08:17 | 只看該作者
Mahima Ranjan AdhikariDiscusses the basic concepts of algebraic topology with numerous related illustrations and applications.Approaches the topic nearly “from scratch” and accompanies students through its natural developm
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發(fā)表于 2025-3-22 22:08:34 | 只看該作者
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發(fā)表于 2025-3-23 02:37:36 | 只看該作者
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發(fā)表于 2025-3-23 08:11:41 | 只看該作者
Textbook 2016 groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical phys
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