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Centered Bases, Nested Bases, and Completability of Aronszajn Spaces

Published online by Cambridge University Press:  20 November 2018

Thomas M. Phillips
Thomas M. Phillips*
Affiliation:
Auburn University, Auburn, Alabama
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Definition. [1] A base B for the topology of a space S is centered provided every perfectly decreasing filterbase F in B is regular and either F is free or F converges. A centered base which contains no free perfectly decreasing filterbase is said to be complete.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1331 - 1335
Copyright
Copyright © Canadian Mathematical Society 1978

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