RT Journal Article
T1 Lower semifinite topology in hyperspaces
A1 Cuchillo Ibáñez, Eduardo
A1 Morón, Manuel A.
A1 Romero Ruiz del Portal, Francisco
AB In this paper we use the lower semifinite topology in hyperspaces to obtain examples in topology such as pseudocompact spaces not countably compact, separable spaces not Lindelöf and in a natural way many spaces appear which are T0 but not T1. We also give, in a unified form, many examples of contractible locally contractible spaces, absolute extensor for the class of all topological spaces, absolute retract and many examples of spaces having the fixed point property. Finally we obtain the following characterization of compactness: ``A paracompact Hausdorff space is compact if and only if the hyperspace, with the lower semifinite topology, 2X, has the fixed point property''.
PB Auburn University
SN 0146-4124
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/58344
UL https://hdl.handle.net/20.500.14352/58344
LA eng
DS Docta Complutense
RD 29 abr 2024