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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Lie Groups and Lie Algebras,ie algebra and also correspondence between homomorphisms of Lie groups and homomorphisms of the associated Lie algebras. In this way, this theory provides a key link between Lie groups and Lie algebra. This link facilitates a study of Lie theory.

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https://doi.org/10.1007/3-540-28555-5ituations. This subject arising as a branch of geometry plays a key role in modern mathematics, because of its study of continuous deformations such as stretching, twisting, crumpling and bending, which are allowed, whereas tearing or gluing are not allowed.

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romotes active learning of the subject with historical note .This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and

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https://doi.org/10.1007/978-3-319-24633-8cal and algebraic group structures are compatible in the sense that the corresponding group operations are continuous. It asserts that the concept of a topological group is precisely that concept in which the algebraic and topological structures are united and interrelated. This phenomenon leads to the concept of topological groups.