Results 1 -
2 of
2
Apartness spaces as framework for constructive topology
- Ann. Pure Appl. Logic
, 2003
"... An axiomatic development of the theory of apartness and nearness of a point and a set is introduced as a framework for constructive topology. Various notions of continuity of mappings between apartness spaces are compared; the constructive independence of one of the axioms from the others is demonst ..."
Abstract
-
Cited by 7 (1 self)
- Add to MetaCart
An axiomatic development of the theory of apartness and nearness of a point and a set is introduced as a framework for constructive topology. Various notions of continuity of mappings between apartness spaces are compared; the constructive independence of one of the axioms from the others is demonstrated; and the product apartness structure is defined and analysed.
A Constructive Theory of Point-Set Nearness
- in Proceedings of Topology in Computer Science: Constructivity; Asymmetry and Partiality; Digitization, Seminar in Dagstuhl, Germany, 4–9 June 2000; Springer Lecture Notes in Computer Science
, 2001
"... An axiomatic constructive development of the theory of nearness and apartness of a point and a set is introduced as a setting for topology. ..."
Abstract
-
Cited by 2 (1 self)
- Add to MetaCart
An axiomatic constructive development of the theory of nearness and apartness of a point and a set is introduced as a setting for topology.
