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Metric and Complete Metric σ-Frames

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Abstract

A σ-frame is a lattice in which countable joins exist and binary meets distribute over countable joins. In this paper, the category MσFrm, of metric σ-frames, is introduced, and it is shown to be equivalent to the category MLFrm u, of metric Lindelöf frames.

Finally, it is shown that the complete metric σ-frames are exactly the cozero parts of complete metric Lindelöf frames.

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Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, 19839, Tehran, Iran

    M. Vojdani Tabatabaee & M. Mehdi Ebrahimi

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  1. M. Vojdani Tabatabaee
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  2. M. Mehdi Ebrahimi
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Tabatabaee, M.V., Ebrahimi, M.M. Metric and Complete Metric σ-Frames. Applied Categorical Structures 11, 135–146 (2003). https://doi.org/10.1023/A:1023533424445

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