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2010 Mathematics Subject Classification: Primary: 54A05 [MSN][ZBL]

pre-base

A family $\gamma$ of open subsets of a topological space $X$ such that the totality of all sets which are intersections of a finite number of elements of $\gamma$ forms a base of $X$.

References

[a1] R. Engelking, "General topology" , Heldermann (1989)
How to Cite This Entry:
Subbase. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subbase&oldid=39441
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article