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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.2 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1995, v.2 no.2, pp.111-114
Shin, Yong-Soon
Shin,, Y. (1995). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 2(2), 111-114.

Abstract

A C<TEX>$\^$</TEX><TEX>$\infty$</TEX>/ manifold is a pair (M, C) where a) M is a Hausdorff topological space such that every point <TEX>$\chi$</TEX><TEX>$\in$</TEX>M has a neighborhood homeomorphic to an open subset of R<TEX>$^n$</TEX>. b) C is a collection of these homeomorphisms whose domains cover M. If ø, <TEX>$\psi$</TEX> <TEX>$\in$</TEX> C then ø o <TEX>$\psi$</TEX><TEX>$\^$</TEX>-1/ is C<TEX>$\^$</TEX><TEX>$\infty$</TEX>/. c) C is maximal with respect to (b).(omitted)

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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