Z. Lyu ; X. Xie ; H. Kou - A note on the category of c-spaces

entics:10362 - Electronic Notes in Theoretical Informatics and Computer Science, March 21, 2023, Volume 2 - Proceedings of ISDT 9 - https://doi.org/10.46298/entics.10362
A note on the category of c-spacesArticle

Authors: Z. Lyu ; X. Xie ; H. Kou

    We prove that the category of c-spaces with continuous maps is not cartesian closed. As a corollary the category of locally finitary compact spaces with continuous maps is also not cartesian closed.

    Comment: 5 pages

    https://doi.org/10.46298/entics.10362
    Source: arXiv.org:2211.12734
    Volume: Volume 2 - Proceedings of ISDT 9
    Published on: March 21, 2023
    Accepted on: November 25, 2022
    Submitted on: November 24, 2022
    Keywords: Computer Science - Logic in Computer Science, Mathematics - Category Theory
    Licence: Attribution 4.0 International (CC BY 4.0)

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