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Category algebras of complete metric spaces

Part of: Spaces with richer structures

Published online by Cambridge University Press:  26 February 2010

Dorothy Maharam  and
A. H. Stone
Dorothy Maharam
Affiliation:
University of Rochester, Rochester, N. Y., U. S. A.
A. H. Stone
Affiliation:
University of Rochester, Rochester, N. Y., U. S. A.
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Abstract

We show that a complete metric space X has an essentially unique “nice” zero-dimensional dense Gδ subset, and derive from this a complete algebraic description of the “category algebra” (of Borel modulo first category sets) of X.

MSC classification

Secondary: 54E50: Complete metric spaces
Type
Research Article
Information
Mathematika , Volume 26 , Issue 1 , June 1979 , pp. 13 - 17
Copyright
Copyright © University College London 1979

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References

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