On semi-homeomorphisms

J. P. Lee

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

Abstract:

In the first part of our work we show a condition for a semi-homeomorphism in the sense of Crossley and Hildebrand (s.h.C.H) to be a semi-homeomorphism in the sense of Biswas (s.h.B). Certain relevant examples are provided. Next, we define strong semi-homeomorphisms Via nice restrictions of semi-homeomorphisms (global condition) and we show that the new class of functions actually coincides with semi-homeomorphisms. Then, in the third part we introduce local semi-homeomorphisms (l.s.h.C.H.) 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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:971687

DOI: 10.1155/S0161171290000163

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