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A Note on Proper Maps of Locales

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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.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, Nanjing, 210097, China

    Wei He

  2. Institute of Mathematics, Sichuan University, Chengdu, 610064, China

    MaoKang Luo

Authors
  1. Wei He
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  2. MaoKang Luo
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Corresponding author

Correspondence to Wei He.

Additional information

Project supported by NSF of China(10731050).

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He, W., Luo, M. A Note on Proper Maps of Locales. Appl Categor Struct 19, 505–510 (2011). https://doi.org/10.1007/s10485-009-9196-1

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  • DOI: https://doi.org/10.1007/s10485-009-9196-1

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