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Cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin

Abstract

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category of completely distributive lattices with nonempty union preserving mappings is cartesian closed.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, 610064, Chengdu, China

    Dexue Zhang

  2. Department of Mathematics, Shaanxi Normal University, 710062, Xi’an, China

    Zhongqiang Yang

Authors
  1. Dexue Zhang
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  2. Zhongqiang Yang
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Cite this article

Zhang, D., Yang, Z. Cartesian closedness of categories of completely distributive lattices. Chin.Sci.Bull. 43, 2059–2063 (1998). https://doi.org/10.1007/BF03183505

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  • DOI: https://doi.org/10.1007/BF03183505

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