H-enrichments of Topologies

Authors

Paul Bankston, Marquette UniversityFollow

Document Type

Article

Language

eng

Format of Original

19 p.

Publication Date

11-1991

Publisher

Elsevier

Source Publication

General Topology and Its Applications

Source ISSN

0166-8641

Original Item ID

doi: 10.1016/0166-8641(91)90031-G

Abstract

An H-enrichment of a topology on a set X is a topology on X such that and every homeomorphism from X to itself with respect to is also a homeomorphism with respect to . An H-enrichment is a C-enrichment if “homeomorphism” can be replaced by “continuous function” above. Generally in “nice” spaces, there is a scarcity of C-enrichments and an abundance of H-enrichments. We capitalize on the scarcity of C-enrichments to prove classification theorems for minimally free rings of continuous real-valued functions; with H-enrichments in general, we focus on separation and connectedness axioms.

Comments

Topology and Its Applications, Vol. 42, No. 1 (November 1991): 37-55. DOI.

Recommended Citation

Bankston, Paul, "H-enrichments of Topologies" (1991). Mathematics, Statistics and Computer Science Faculty Research and Publications. 174.
https://epublications.marquette.edu/mscs_fac/174