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.
A theorem on uniformly continuous extensions of mappings defined in finite-dimensional spaces / Vidossich, Giovanni. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 7:3(1969), pp. 207-210. [10.1007/BF02787613]
A theorem on uniformly continuous extensions of mappings defined in finite-dimensional spaces
Vidossich, Giovanni
1969-01-01
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.File in questo prodotto:
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