RT Journal Article
T1 Concerning ultraparacompact spaces.
A1 Gallego Lupiáñez, Francisco
AB In this interesting paper a new class of ultraparacompact spaces, the class of so-called (P*) spaces, is introduced and investigated. A zero-dimensional Hausdorff space is called a (P*) space if for every open cover and for every clopen base such that every finite union of elements of the base can be partitioned into elements of the base, there exists a discrete refinement consisting of members of the base. For example, a zero-dimensional dense subspace of Rn is a (P*) space. The authors provide a characterization of the (P*) property and show that every ultraparacompact C-scattered space satisfies property (P*). At the end of the paper some open questions are raised.
PB Symposium of General Topology
SN 0918-4732
YR 1993
FD 1993
LK https://hdl.handle.net/20.500.14352/57493
UL https://hdl.handle.net/20.500.14352/57493
DS Docta Complutense
RD 17 abr 2025