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Geometry of Simplicial Complexes and Fundamental Groups of Polyhedra

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

Chapter Chapter 6 in Basic Algebraic Topology and its Applications, 2016, pp 249-271 from Springer

Abstract: Abstract This chapter conveys the geometry of finite simplicial complexes which provides a convenient way to study manifolds and builds up interesting topological spaces called polyhedra from these complexes followed by a study of their homotopy properties with computing their fundamental groups and develops certain analytical geometric tools for subsequent chapters.

Keywords: Topological Space; Fundamental Group; Simplicial Complex; Homology Group; Algebraic Topology (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_6

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DOI: 10.1007/978-81-322-2843-1_6

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