On semi-homeomorphisms
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-hom...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000163 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |