Homotopy Theory: Elementary Basic Concepts

Mahima Ranjan Adhikari ()
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Mahima Ranjan Adhikari: Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)

Chapter Chapter 2 in Basic Algebraic Topology and its Applications, 2016, pp 45-106 from Springer

Abstract: Abstract This chapter opens with a study of homotopy theory by introducing its elementary basic concepts such as homotopy of continuous maps, homotopy equivalence, H-group, H-cogroup, contractible space, retraction, deformation with illustrative geometrical examples and applications.

Keywords: Homotopy Theory; Basic Conceptual Elements; Equivariant Homotopy; Contractible Space; Strong Deformation Retraction (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2843-1_2

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DOI: 10.1007/978-81-322-2843-1_2

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