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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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290000163 |
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| _version_ | 1850107082451189760 |
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| author | J. P. Lee |
| author_facet | J. P. Lee |
| author_sort | J. P. Lee |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4cb58dbd5e4c41bca444da61c8779e79 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4cb58dbd5e4c41bca444da61c8779e792025-08-20T02:38:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113112913410.1155/S0161171290000163On semi-homeomorphismsJ. P. Lee0Department of Mathematics, State University of New York, College at Old Westbury, Old Westbury, New York 11568, USAIn 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.http://dx.doi.org/10.1155/S0161171290000163semi-homeomorphisms. |
| spellingShingle | J. P. Lee On semi-homeomorphisms International Journal of Mathematics and Mathematical Sciences semi-homeomorphisms. |
| title | On semi-homeomorphisms |
| title_full | On semi-homeomorphisms |
| title_fullStr | On semi-homeomorphisms |
| title_full_unstemmed | On semi-homeomorphisms |
| title_short | On semi-homeomorphisms |
| title_sort | on semi homeomorphisms |
| topic | semi-homeomorphisms. |
| url | http://dx.doi.org/10.1155/S0161171290000163 |
| work_keys_str_mv | AT jplee onsemihomeomorphisms |