Precompact Apartness Spaces
نویسنده
چکیده
We present a notion of precompactness, and study some of its properties, in the context of apartness spaces whose apartness structure is not necessarily induced by any uniform one. The presentation lies entirely with a Bishop-style constructive framework, and is a contribution to the ongoing development of the constructive theories of apartness and uniformity.
منابع مشابه
A discrete duality between apartness algebras and apartness frames
Apartness spaces were introduced as a constructive counterpart to proximity spaces which, in turn, aimed to model the concept of nearness of sets in a metric or topological environment. In this paper we introduce apartness algebras and apartness frames intended to be abstract counterparts to the apartness spaces of Bridges and Vîta [3], and we prove a discrete duality for them.
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عنوان ژورنال:
- Logical Methods in Computer Science
دوره 8 شماره
صفحات -
تاریخ انتشار 2012