Vol. 83, No. 2, 1979

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Locale geometry

B. J. Day

Vol. 83 (1979), No. 2, 333–339
Abstract

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

Mathematical Subject Classification 2000
Primary: 52A01
Secondary: 03G10
Milestones
Received: 21 November 1978
Published: 1 August 1979
Authors
B. J. Day