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Steenrod's theorem for locales

Published online by Cambridge University Press:  01 September 1998

HE WEI
Affiliation:
Department of Mathematics, Shaan Xi Teachers' University, Xian, 710062, P.R. China
LIU YINGMING
Affiliation:
Department of Mathematics, Sichuan University, Chengdu 610064, P.R. China

Abstract

We give an explicit description of the construction of inverse limits in the category of locales and show a localic version of Steenrod's theorem without the Axiom of Choice; as an application we generalize the classic result by Steenrod.

Type
Research Article
Copyright
Cambridge Philosophical Society 1998

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Footnotes

This project was supported by the National Science Fund of China.