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Topology and Manifolds

In: Basic Topology 2

Author

Listed:
  • Avishek Adhikari

    (Presidency University, Department of Mathematics)

  • Mahima Ranjan Adhikari

    (Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC))

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.

Suggested Citation

  • Avishek Adhikari & Mahima Ranjan Adhikari, 2022. "Topology and Manifolds," Springer Books, in: Basic Topology 2, chapter 0, pages 125-289, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-6577-6_3
    DOI: 10.1007/978-981-16-6577-6_3
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