Regular compactifications of convergence spaces

Author:

Richardson G. D.,Kent D. C.

Abstract

This note gives a simple characterization for the class of convergence spaces for which regular compactifications exist and shows that each such convergence space has a largest regular compactification.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Convergence quotient maps;Kent, D. C.;Fund. Math.,1969

2. Minimal convergence spaces;Kent, D. C.;Trans. Amer. Math. Soc.,1971

3. Cauchy spaces. I. Structure and uniformization theorems;Ramaley, J. F.;Math. Ann.,1970

4. A Stone-Čech compactification for limit spaces;Richardson, G. D.;Proc. Amer. Math. Soc.,1970

5. O. Wyler, The Stone-Čech compactification for limit spaces, Notices Amer. Math. Soc. 15 (1968), 169. Abstract #653-306.

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