Tietze Extension Theorem for n-dimensional Spaces

Pole DC	Wartość	Język
dc.contributor.author	Pąk, Karol	-
dc.date.accessioned	2015-12-09T20:40:37Z	-
dc.date.available	2015-12-09T20:40:37Z	-
dc.date.issued	2014	-
dc.identifier.citation	Formalized Mathematics, Volume 22, Issue 1, 2014, Pages 11-19	-
dc.identifier.issn	1426-2630	-
dc.identifier.issn	1898-9934	-
dc.identifier.uri	http://hdl.handle.net/11320/3698	-
dc.description.abstract	In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic with a convex compact subset of En with a non-empty interior. This article is based on [20]; [23] and [22] can also serve as reference books.	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.subject	Tietze extension	-
dc.subject	hypercube	-
dc.title	Tietze Extension Theorem for n-dimensional Spaces	-
dc.type	Article	-
dc.identifier.doi	10.2478/forma-2014-0002	-
dc.description.Affiliation	Institute of Informatics University of Białystok Sosnowa 64, 15-887 Białystok Poland	-
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