Higher Homotopy Groups

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

Chapter Chapter 7 in Basic Algebraic Topology and its Applications, 2016, pp 273-304 from Springer

Abstract: Abstract This chapter continues to study homotopy theory displaying construction of a sequence of covariant functors $$\pi _n$$ π n given by W. Hurewicz (1904–1956) in 1935 from topology to algebra by extending the concept of fundamental group, which is the first influential functor of homotopy theory invented by H. Poincaré (1854–1912) in 1895.

Keywords: Homotopy Groups; Hurewicz; Freudenthal Suspension Theorem; Path-connected Space; Homotopy Sequence (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-81-322-2843-1_7

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