Locale geometry

B. J. Day*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    Abstract

    We commence with a locale L (that is, a complete Heyting algebra) and introduce the notion of an L-valued betweenness relation on a set. The concept of an L-valued geometry is then formulated and the relevant versions of the Radon, Helly and Caratheodory theorems are proved.

    Original languageEnglish
    Pages (from-to)333-339
    Number of pages7
    JournalPacific Journal of Mathematics
    Volume83
    Issue number2
    Publication statusPublished - 1979

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    Day, B. J. (1979). Locale geometry. Pacific Journal of Mathematics, 83(2), 333-339.