Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari

By Mahima Ranjan Adhikari

This ebook offers an available creation to algebraic topology, a field on the intersection of topology, geometry and algebra, including its purposes. furthermore, it covers numerous similar subject matters which are in reality vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the publication integrates numerous techniques of algebraic topology, supported through examples, routines, functions and ancient notes. basically meant as a textbook, the booklet offers a helpful source for undergraduate, postgraduate and complicated arithmetic scholars alike.
Focusing extra at the geometric than on algebraic elements of the topic, in addition to its normal improvement, the ebook conveys the fundamental language of contemporary algebraic topology via 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 cellphone complexes, and so on. The booklet stories various maps, that are non-stop features among areas. It additionally finds the significance of algebraic topology in modern arithmetic, theoretical physics, desktop technological know-how, chemistry, economics, and the organic and scientific sciences, and encourages scholars to have interaction in additional study.

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