Title of article
Selectors and scattered spaces
Author/Authors
Artico، نويسنده , , G. and Marconi، نويسنده , , U. and Moresco، نويسنده , , R. and Pelant، نويسنده , , J.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2001
Pages
14
From page
35
To page
48
Abstract
Selectors on F(X) are studied. Non-Archimedean P-spaces with a continuous selector are shown to be precisely scattered spaces (or topologically well-orderable ones). Several results are given for spaces with a unique accumulation point p; e.g., if the filter of its neighborhoods (without p) is a sum two free ultrafilters then the existence of a continuous selector for all such spaces is equivalent to the non-existence of a measurable cardinal.
Keywords
Hyperspace , Selector , Scattered space , Measurable cardinal , Topologically well-orderable space , Vietoris topology , Ordinal
Journal title
Topology and its Applications
Serial Year
2001
Journal title
Topology and its Applications
Record number
1576309
Link To Document