Difference between revisions of "Subbase"
From Encyclopedia of Mathematics
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− | + | {{TEX|done}}{{MSC|54A05}} | |
+ | ''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 $X$. | |
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====References==== | ====References==== | ||
− | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> R. Engelking, "General topology" , Heldermann (1989)</TD></TR></table> | + | <table> |
+ | <TR><TD valign="top">[a1]</TD> <TD valign="top"> R. Engelking, "General topology" , Heldermann (1989)</TD></TR> | ||
+ | </table> |
Latest revision as of 19:22, 19 October 2016
2020 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=16203
Subbase. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subbase&oldid=16203
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article