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Link to original content: https://doi.org/10.1007/S10485-009-9196-1
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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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References

  1. Vermeulen, J.J.C.: Proper maps of locales. J. Pure Appl. Algebra 92, 79–107 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Vermeulen, J.J.C.: A note on stably closed maps of locales. J. Pure Appl. Algebra 157, 335–339 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  3. Moerdijk, I., Vermeulen, J.J.C.: Proper maps of toposes. Mem. Am. Math. Soc. 705 (2000)

  4. Johnstone, P.T.: Stone Spaces. Cambridge University Press, Cambridge (1982)

    MATH  Google Scholar 

  5. Johnstone, P.T.: Sketches of an Elephent: A Topos Theory Compendium, vol. 2. Oxford Science Publications, Oxford (2002)

    Google Scholar 

  6. Banaschewski, B.: Compactification of frames. Math. Nachr. 149, 105–116 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  7. He, W.: A constructive proof of the Gelfand-Kolmogorov theorem. Appl. Categ. Struct. 12, 197–202 (2004)

    Article  MATH  Google Scholar 

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Correspondence to Wei He.

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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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