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On semi-homeomorphisms

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  • J. P. Lee

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.

Suggested Citation

  • J. P. Lee, 1990. "On semi-homeomorphisms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:971687
    DOI: 10.1155/S0161171290000163
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