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A new look at pointfree metrization theorems

Bernhard Banaschewski, Aleš Pultr (1998)

Commentationes Mathematicae Universitatis Carolinae

We present a unified treatment of pointfree metrization theorems based on an analysis of special properties of bases. It essentially covers all the facts concerning metrization from Engelking [1] which make pointfree sense. With one exception, where the generalization is shown to be false, all the theorems extend to the general pointfree context.

A sufficient condition of full normality

Tomáš Kaiser (1996)

Commentationes Mathematicae Universitatis Carolinae

We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.

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