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Embedding in R-closed spaces
Authors:Alan Dow  Jack Porter
Affiliation:Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA
Abstract:
Some problems in the theory of R-closed spaces are solved by showing that every regular space can be embedded in a minimal regular space and there is an R-closed space with no coarser minimal regular topology. A class of spaces is found so that when fed into the Jone's machinery for producing non-Tychonoff, regular spaces, the output is non-tychonoff R-closed and minimal regular spaces. Also, an example of a strongly minimal regular space that is not locally R-closed is given.
Keywords:54D25  54C25
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