Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari

By Mahima Ranjan Adhikari

This ebook offers an obtainable creation to algebraic topology, a field on the intersection of topology, geometry and algebra, including its functions. additionally, it covers numerous similar issues which are actually vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the ebook integrates quite a few techniques of algebraic topology, supported through examples, workouts, functions and ancient notes. essentially meant as a textbook, the publication offers a beneficial source for undergraduate, postgraduate and complex arithmetic scholars alike.
Focusing extra at the geometric than on algebraic facets of the topic, in addition to its usual improvement, the e-book conveys the fundamental language of recent algebraic topology via exploring homotopy, homology and cohomology theories, and examines quite a few areas: spheres, projective areas, classical teams and their quotient areas, functionality areas, polyhedra, topological teams, Lie teams and cellphone complexes, and so forth. The publication stories quite a few maps, that are non-stop features among areas. It additionally unearths the significance of algebraic topology in modern arithmetic, theoretical physics, machine technological know-how, chemistry, economics, and the organic and clinical sciences, and encourages scholars to have interaction in extra study.

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