Open AccessA note on unibasic spaces and transitive quasi-proximities
Author(s) -
Adalberto García-Máynez,
Adolfo Pimienta Acosta
Publication year - 2017
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2017.4092
Subject(s) - bijection , mathematics , transitive relation , set (abstract data type) , topological space , basis (linear algebra) , combinatorics , pure mathematics , topology (electrical circuits) , geometry , computer science , programming language
In this paper we prove there is a bijection between the set of all annular bases of a topological spaces $(X,\tau)$ and the set of all transitive quasi-proximities on $X$ inducing $\tau$.We establish some properties of those topological spaces $(X,\tau)$ which imply that $\tau$ is the only annular basi
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