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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4283

Title: A Note on Local Compactness
Authors: Clementino, Maria Manuel
Keywords: locally compact object
perfect map
closure operator
open map
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Maria Manuel Clementino and Walter Tholen, "A Note on Local Compactness", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 17–31.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Abstract: We propose a categorical definition of locally-compact Hausdorff object which gives the right notion both, for topological spaces and for locales. Stability properties follow from easy categorical arguments. The map version of the notion leads to an investigation of restrictions of perfect maps to open subspaces.
URI: http://hdl.handle.net/10077/4283
ISSN: 0049-4704
MS Classification: 54D30
54D45
54B30
18B30
54C10
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2

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