A theorem on uniformly continuous extensions of mappings defined in finite-dimensional spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1969 Italy English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 7, pages 207-210 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Vidossich, Giovanni;

doi: 10.1007/bf02787613

handle: 20.500.11767/86256

A theorem on uniformly continuous extensions of mappings defined in finite-dimensional spaces

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Abstract

We prove a theorem on uniformly continuous extensions of mappings defined in spaces whose uniformities have a base of finite-dimensional uniform coverings. This theorem includes a theorem of M. Katětov.

Country

Italy

Related Organizations

International School for Advanced Studies
Italy
University of Pisa
Italy

Keywords

Continuous Family, topology, Continuous Extension, Closed Ball, Banach Space, Uniform Space, Extension of maps

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