A characterization of point semiuniformities
The concept of a uniformity was developed by A. Well and there have been several generalizations. This paper defines a point semiuniformity and gives necessary and sufficient conditions for a topological space to be point semiuniformizable. In addition, just as uniformities are associated with topol...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000439 |
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| Summary: | The concept of a uniformity was developed by A.
Well and there have been several generalizations. This
paper defines a point semiuniformity and gives necessary
and sufficient conditions for a topological space to be
point semiuniformizable. In addition, just as uniformities
are associated with topological groups, a point
semiuniformity is naturally associated with a semicontinuous
group. This paper shows that a point semiuniformity
associated with a semicontinuous group is a uniformity
if and only if the group is a topological group. |
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| ISSN: | 0161-1712 1687-0425 |