Geodesic
A new look at pointfree metrization theorems
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 167-175.

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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.
Classification : 06A23, 06D10, 06D20, 06D22, 54E35
Keywords: frame; (metric) diameter; metrization 
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     title = {A new look at pointfree metrization theorems},
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Banaschewski, B.; Pultr, A. A new look at pointfree metrization theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 167-175. http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a16/