Zohreh Vaziry
S. B Nimse
Dieter Leseberg

B-Nearness on Boolean frames

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 67, 3 - 19 (2012)

MSC: 06C15   Complemented lattices, orthocomplemented lattices and posets [See also 03G12, 81P10]
  06D22   Frames, locales For topological questions see 54-XX
  54E15   Uniform structures and generalizations

Abstract:   In this paper we define and study BN-proximity, B-nearness, B-farness, B- smallness and B-covering on Boolean frames and investigate relation between them. Also we define and investigate some properties of B-nearness on frames and subframes. Then we define complete nearness space by given B-near frame.

Keywords:   BN-Proximity, B-Nearness, B-Covering, B-Smallness, B-Farness, Contigual, Uniform, graded, Complete.


karin.martin@uni-rostock.de
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