On some properties of approximations
type: Item
instance of: scholarly article
title: On some properties of approximations
zbMATH Open document ID: 1221.41013
author: S. P. Ponomarev
author: Stanisław Kowalczyk
published in: Topology and its Applications
publication date: 2011-07-07T00:00:00Z
review text: The authors obtain an approximation result with continuous functions whose values omit a given subset in the range of the given function.
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 57R12
zbMATH DE Number: 5918203
zbMATH Keywords: continuous mappings
zbMATH Keywords: smooth approximations
zbMATH Keywords: unstable values
zbMATH Keywords: Sard's theorem
zbMATH Keywords: Lebesgue covering dimension
zbMATH Keywords: paracompact spaces
zbMATH Keywords: Tietze's extension theorem
zbMATH Keywords: degree of a proper mapping
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: j.topol.2011.03.010
OpenAlex ID: W1989729302
cites work: Multiplying balls in the space of continuous functions on [0,1]
cites work: Q4150804
cites work: Q4185470
cites work: Differential Topology
cites work: A connection between multiplication in C(X) and the dimension of X
cites work: Weak openness of multiplication in the space \(C(0,1)\)
DOI: 10.1016/J.TOPOL.2011.03.010
description: scientific article; zbMATH DE number 5918203