Applied Categorical Structures

, Volume 19, Issue 2, pp 505–510 | Cite as

A Note on Proper Maps of Locales

Article
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Abstract

Let X and Y be completely regular locales. We show that the properness of a localic map f: X → Y can be characterized in terms of extension between compactifications.

Keywords

Locale Proper map 

Mathematics Subject Classifications (2000)

06D99 18B25 54C10 
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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of MathematicsNanjing Normal UniversityNanjingChina
  2. 2.Institute of MathematicsSichuan UniversityChengduChina

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