U-filters and uniform compactification

作者：Alaste Tomi^*

来源：Studia Mathematica, 2012, 211(3): 215-229.

DOI：10.4064/sm211-3-3

• uniform space
• uniformly continuous function
• uniform compactification
• U-filter
• U-ultrafilter
• LUC-compactification.

We show that the uniform compactification of a uniform space (X, U) can be considered as a space of filters on X. We apply these filters to study the LUC-compactification of a topological group.

• 出版日期2012