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Steenrod's theorem for locales

Published online by Cambridge University Press:  01 September 1998

HE WEI  and
LIU YINGMING
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
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 124 , Issue 2 , September 1998 , pp. 305 - 307
Copyright
Cambridge Philosophical Society 1998

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Footnotes

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