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Titlebook: Basic Topology 3; Algebraic Topology a Mahima Ranjan Adhikari Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusiv

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期刊全称Basic Topology 3
期刊简称Algebraic Topology a
影响因子2023Mahima Ranjan Adhikari
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发行地址Presents motivating examples, numerous illustrations, and applications.Provides problem-solving techniques for a better grasp of the topic.Promotes active learning of the subject with historical note
图书封面Titlebook: Basic Topology 3; Algebraic Topology a Mahima Ranjan Adhikari Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusiv
影响因子This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.
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Jens Iseler,Andreas Lesser,Reinhard Niehuisomology and cohomology theories with an emphasis on the axiomatic approach of Eilenberg and Steenrod with various interesting applications for accessible presentation. It starts with a brief discussion on ., and then it defines . which is a natural generalization of simplicial homology theory. Their
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https://doi.org/10.1007/978-981-16-6550-9topology; algebra; category theory; homotopy; fiber bundles; history of algebraic topology
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978-981-16-6552-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Dominik Schleicher,Max CamenzindThis chapter conveys a few basic concepts of algebra, topology, manifold and category theory for smooth study of Volume 3 of the present book series. For detailed study of the concepts and results given in this chapter.
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