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.
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
Keywords: frame; (metric) diameter; metrization
@article{CMUC_1998_39_1_a16,
author = {Banaschewski, B. and Pultr, A.},
title = {A new look at pointfree metrization theorems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {167--175},
year = {1998},
volume = {39},
number = {1},
mrnumber = {1623010},
zbl = {0937.54019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a16/}
}
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/