Structure of Open Self-Maps on Topological Spaces That Satisfy a Separation Axiom
DOI:
https://doi.org/10.59743/jbs.v37i2.310Keywords:
Orbit, Open map, Topological space, Separation axiom, 2020 Mathematics Subject Classification code: 54C10Abstract
Let be any set and be a map. In this paper, the following questions are addressed: Can we define a non-discrete topology on with respect to which is an open map? When can we endow with a non-discrete topology such that the map is open and satisfies one of the separation axioms? We answer some of these questions in terms of the orbit structure of the map concerned.
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