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Remarks on Completely Regular Lindelöf Reflection of Locales

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Abstract

We prove, under the axiom of countable choice, that the l-ring structure of C(L) of real-valued continuous functions on a locale L determines the completely regular Lindelöf reflection lL of L up to isomorphism.

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Authors and Affiliations

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

    He Wei

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  1. He Wei
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Correspondence to He Wei.

Additional information

Mathematics Subject Classifications (2000)

54C30, 46E25.

Project supported by NSF of China (Grant No. 10271056 and Grant No. 10331011).

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Wei, H. Remarks on Completely Regular Lindelöf Reflection of Locales. Appl Categor Struct 13, 71–77 (2005). https://doi.org/10.1007/s10485-004-8125-6

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  • DOI: https://doi.org/10.1007/s10485-004-8125-6

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