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Research Article Open access CC BY 4.0

Theory of Approximative Relative Retracts and Its Applications

Mirosław Ślosarski

Journal of Advances in Mathematics and Computer Science · pp. 1–19 · Published 8 Dec 2015

10.9734/BJMCS/2016/22694

Abstract

In the article a simpler and more generalized perspective of approximative multiretracts is presented (see [1]). This perspective allows for new results and applications. In order to reach it, a class of approximative relative retracts will be de ned with the use of single-valued mappings only. Their properties will be studied and some applications to fixed point theory, the theory of the extension of multivalued mappings, to graph-approximation theory and to the theory of approximative retracts will be given.

Relative retract approximative retract approximative relative retract approximative multiretract multifunction Vietoris map, finite type acyclic space fixed point approximate selector.

Cited by 1

Constructions of relative retracts in the Hilbert cube

Mirosław Ślosarski · Topology and its Applications · 2019

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