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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A lattice of conditions on topological spaces


Authors: P. J. Collins, G. M. Reed, A. W. Roscoe and M. E. Rudin
Journal: Proc. Amer. Math. Soc. 94 (1985), 487-496
MSC: Primary 54D18; Secondary 54D15, 54E25, 54E30, 54E35, 54E65
MathSciNet review: 787900
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Abstract: If $ W(x)$ (for each $ x \in X$) is a family of subsets each containing $ x$, various conditions on $ \left\{ {W(x):x \in X} \right\}$ are investigated. They yield new criteria for paracompactness, metrisability and the existence of a semimetric generating a given topology.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0787900-X
Article copyright: © Copyright 1985 American Mathematical Society