Topology and Manifolds

Avishek Adhikari () and Mahima Ranjan Adhikari
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Avishek Adhikari: Presidency University, Department of Mathematics
Mahima Ranjan Adhikari: Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)

Chapter Chapter 3 in Basic Topology 2, 2022, pp 125-289 from Springer

Abstract: Abstract The main aim of this chapter is to address a systematic and comprehensive elementary approach to the topology related to manifolds with an emphasis on differential topology 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 M carries a topological structure on its underlying space |M|. For example, differential manifolds constitute an important class of topological manifolds endowed with an additional structure which is a differential structure.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-6577-6_3

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DOI: 10.1007/978-981-16-6577-6_3

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