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On profiniteness of compact totally disconnected algebras

Published online by Cambridge University Press:  17 April 2009

B.J. Day
B.J. Day
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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The paper presents a necessary and sufficient condition for a given compact totally disconnected space C to be the projective limit of a given directed cone of epimorphisms onto finite discrete quotients of C. This problem is related to the question of when a compact totally disconnected algebra is profinite and some observations in this direction are recorded.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 1 , January 1979 , pp. 71 - 76
Copyright
Copyright © Australian Mathematical Society 1979

References

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