Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari

By Mahima Ranjan Adhikari

This e-book presents an available creation to algebraic topology, a field on the intersection of topology, geometry and algebra, including its purposes. additionally, it covers a number of similar issues which are actually very important within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the booklet integrates a variety of recommendations of algebraic topology, supported via examples, routines, functions and historic notes. basically meant as a textbook, the ebook offers a useful source for undergraduate, postgraduate and complicated arithmetic scholars alike.
Focusing extra at the geometric than on algebraic features of the topic, in addition to its typical improvement, the publication conveys the fundamental language of recent algebraic topology through exploring homotopy, homology and cohomology theories, and examines various areas: spheres, projective areas, classical teams and their quotient areas, functionality areas, polyhedra, topological teams, Lie teams and telephone complexes, and so on. The e-book reports numerous maps, that are non-stop features among areas. It additionally finds the significance of algebraic topology in modern arithmetic, theoretical physics, computing device technology, chemistry, economics, and the organic and scientific sciences, and encourages scholars to have interaction in additional study.

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Basic Algebraic Topology and its Applications

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