In the paper, some new results on paracompact locales and metric locales are obtained. In particular, we prove that the existence of σ-locally finite refinement of all covers is equivalent to the paracompactness in a regular locale which answers an open question posed by A.Pultr.
|Number of pages||7|
|Journal||Commentationes Mathematicae Universitatis Carolinae|
|Publication status||Published - 1989|