期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1996
卷号：19
DOI：10.1155/S0161171296000439
出版社：Hindawi Publishing Corporation
摘要：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.
