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 language | English |
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Pages (from-to) | 333-339 |
Number of pages | 7 |
Journal | Pacific Journal of Mathematics |
Volume | 83 |
Issue number | 2 |
Publication status | Published - 1979 |