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Fell continuous selections and topologically well‐orderable spaces
Author(s) -
Gutev V.,
Nogura T.
Publication year - 2004
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s002557930001559x
Subject(s) - hyperspace , mathematics , fell , topology (electrical circuits) , space (punctuation) , topological space , property (philosophy) , discrete space , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , computer science , operating system , paleontology , philosophy , epistemology , biology
The present paper extends the idea of characterizing topological properties of a space X by means of continuous selections for its closed subsets F ( X ) endowed with a “natural” hyperspace topology. In this particular case, it is proved that the property of X to be topologically well‐orderable is equivalent to the existence of a selection for F ( X ) which is continuous with respect to the Fell topology.