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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2
  6. A Note on Local Compactness
 
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A Note on Local Compactness
Clementino, Maria Manuel
2001
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ISSN
0049-4704
http://hdl.handle.net/10077/4283
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Subjects
  • locally compact objec...

  • perfect map

  • closure operator

  • open map

Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
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.
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