On semi-homeomorphisms
type: Item
instance of: scholarly article
title: On semi-homeomorphisms
zbMATH Open document ID: 0696.54011
DOI: 10.1155/S0161171290000163
author: N. E. Zubov
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46456
review text: Summary: We show a condition for a semi-homeomorphism in the sense of \textit{S. G. Crossley} and \textit{S. K. Hildebrand} [Fundam. Math. 74, 233-254 (1972; Zbl 0206.515)] to be a semi-homeomorphism in the sense of \textit{N. Biswas} [``On some mappings in topological spaces, Thesis, Univ. of Calcutta (1971)]. Certain relevant examples are provided. Next, we define strong semi-homeomorphisms via ``nice'' restrictions of semi- homeomorphisms (``global condition'') and show that the new class of functions actually coincides with semi-homeomorphisms. Then we introduce local semi-homeomorphisms via a corresponding ``local condition'' for restrictions. A few results pertaining to the preservation of some topological properties under this new class of functions are examined.
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 4140778
zbMATH Keywords: semi-homeomorphisms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4140778