Ordered compactifications and families of maps
For a T3.5-ordered space, certain families of maps are designated as defining families. For each such defining family we construct the smallest T2-ordered compactification such that each member of the family can be extended to the compactification space. Each defining family also generates a quasi-u...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129700015X |
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| _version_ | 1832562976847036416 |
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| author | D. M. Liu D. C. Kent |
| author_facet | D. M. Liu D. C. Kent |
| author_sort | D. M. Liu |
| collection | DOAJ |
| description | For a T3.5-ordered space, certain families of maps are designated as defining families.
For each such defining family we construct the smallest T2-ordered compactification such that
each member of the family can be extended to the compactification space. Each defining family
also generates a quasi-uniformity on the space whose bicompletion produces the same T2-ordered
compactification. |
| format | Article |
| id | doaj-art-cdb3d9d5acfa4654aa911f92859c2570 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cdb3d9d5acfa4654aa911f92859c25702025-02-03T01:21:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120110511010.1155/S016117129700015XOrdered compactifications and families of mapsD. M. Liu0D. C. Kent1Department of Pure and Applied Mathematics, Washington State University, Pullman 99163-3113, WA, USADepartment of Pure and Applied Mathematics, Washington State University, Pullman 99163-3113, WA, USAFor a T3.5-ordered space, certain families of maps are designated as defining families. For each such defining family we construct the smallest T2-ordered compactification such that each member of the family can be extended to the compactification space. Each defining family also generates a quasi-uniformity on the space whose bicompletion produces the same T2-ordered compactification.http://dx.doi.org/10.1155/S016117129700015XT3.5-ordered spaceT2-ordered compactificationdefining family of mapsquasi-uniform spacebicompletion. |
| spellingShingle | D. M. Liu D. C. Kent Ordered compactifications and families of maps International Journal of Mathematics and Mathematical Sciences T3.5-ordered space T2-ordered compactification defining family of maps quasi-uniform space bicompletion. |
| title | Ordered compactifications and families of maps |
| title_full | Ordered compactifications and families of maps |
| title_fullStr | Ordered compactifications and families of maps |
| title_full_unstemmed | Ordered compactifications and families of maps |
| title_short | Ordered compactifications and families of maps |
| title_sort | ordered compactifications and families of maps |
| topic | T3.5-ordered space T2-ordered compactification defining family of maps quasi-uniform space bicompletion. |
| url | http://dx.doi.org/10.1155/S016117129700015X |
| work_keys_str_mv | AT dmliu orderedcompactificationsandfamiliesofmaps AT dckent orderedcompactificationsandfamiliesofmaps |