Prerequisite Concepts and Notations

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

Chapter Chapter 1 in Basic Algebraic Topology and its Applications, 2016, pp 1-44 from Springer

Abstract: Abstract This chapter assembles together some basic concepts and results of set theory, algebra, analysis, set topology, Euclidean spaces, manifolds with standard notations for smooth reading of the book. It is assumed that the readers are familiar with these basic concepts. However, for their detailed study, the books Adhikari and Adhikari (Basic Modern Algebra with Applications, 2014), Dugundji (Topology, 1966), Herstein (Topics in Algebra, 1964), Maunder (Algebraic Topology, 1970), Spanier (Algebraic Topology, 1966), and some other books are referred in Bibliography.

Keywords: Algebraic Topology; Infinite Dimensional Complex Projective Space; Lebesgue Lemma; Tietze Extension Theorem; Local Euclidean Structure (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-81-322-2843-1_1

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