Titlebook: Basic Topology 2; Topological Groups, Avishek Adhikari,Mahima Ranjan Adhikari Textbook 2022 The Editor(s) (if applicable) and The Author(s

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https://doi.org/10.1007/978-3-319-24633-8es of books studies the general properties of topological spaces and their continuous maps. But this chapter studies the topological spaces with other structures (algebraic) compatible with the given topological structures. For example, the circle group . in the complex plane . the 3-spheres . (grou

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https://doi.org/10.1007/978-3-642-58600-2 . avoiding algebraic topology, except for a few isolated cases. It also studies the topology from a differential viewpoint. All manifolds studied in this chapter are by defining conditions topological manifolds in the sense that every manifold . carries a topological structure on its underlying spa

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Stefan Kunze,Erik Schnetter,Roland Speith abstract group structure together with topological and manifold structures which are interrelated with each other by smooth functions. Lie groups consist of two most important special families: a family of differentiable manifolds and a family of topological groups. Their important examples include

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The Small Scale Structure of the Universeudy of the topological concepts and results available in Volume 1 of the present series. Moreover, the books [Adhikari and Adhikari, 2014], [Adhikari, 2016], [Dugundji, 1966], [Simmons, 1963] and some other references are given in Bibliography.

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Avishek Adhikari,Mahima Ranjan AdhikariPresents 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

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