The Fundamental Groups

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

Chapter Chapter 3 in Basic Algebraic Topology and its Applications, 2016, pp 107-145 from Springer

Abstract: Abstract This chapter continues the study of homotopy theory though the concept of fundamental groups invented by H.Poincaré (1854–1912) in 1895, which conveys the first transition from topology to algebra by assigning a group structure on the set of relative homotopy classes of loops in a functorial way.

Keywords: Fundamental Group; Relative Homotopy Class; Path-connected Space; Brouwer Fixed Point Theorem; Borsuk-Ulam Theorem (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-81-322-2843-1_3

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