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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A characterization of primitive bases


Authors: H. H. Wicke and J. M. Worrell
Journal: Proc. Amer. Math. Soc. 50 (1975), 443-450
MSC: Primary 54E99
MathSciNet review: 0425922
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Abstract: The concept of primitive base is characterized in terms of primitive sequences. A characterization of essentially $ {T_1}$ spaces having bases of countable order is a corollary.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0425922-2
PII: S 0002-9939(1975)0425922-2
Keywords: Primitive base, primitive sequence, $ \theta $-base, base of countable order, quasi-developable space, developable space, completeness
Article copyright: © Copyright 1975 American Mathematical Society