On some properties of approximations

DOI10.1016/J.TOPOL.2011.03.010zbMath1221.41013OpenAlexW1989729302MaRDI QIDQ549134

S. P. Ponomarev, Stanislaw Kowalczyk

Publication date: 7 July 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.010

zbMATH Keywords

paracompact spacesSard's theoremsmooth approximationscontinuous mappingsdegree of a proper mappingLebesgue covering dimensionTietze's extension theoremunstable values

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Approximation by other special function classes (41A30)

Cites Work

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• Weak openness of multiplication in the space \(C(0,1)\)
• A connection between multiplication in C(X) and the dimension of X
• Differential Topology
• Multiplying balls in the space of continuous functions on [0,1]

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