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