Minimal convergence spaces

Author:

Kent D. C.,Richardson G. D.

Abstract

We are primarily concerned with minimal P {\text {P}} convergence spaces, where P {\text {P}} is one of the following convergence space properties: Hausdorff, T 2 , λ {{\text {T}}_2}, \lambda -regular, λ \lambda -Urysohn, and first countable, λ \lambda an infinite cardinal number. Our conclusions usually resemble the corresponding topological results, but with some deviations ; for instance, a minimal Hausdorff convergence space is always compact, whereas a countable minimal regular convergence space need not be compact.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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