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Weight of a topological space

From Encyclopedia of Mathematics
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The smallest cardinal number which is the cardinality of an open base of the topological space. The weight, together with the cardinality, is the most important cardinal invariant of a topological space.


Comments

Cf. also Cardinal characteristic.

References

[a1] A.V. Arkhangel'skii, "Topological function spaces" , Kluwer (1991) (Translated from Russian)
[a2] I. Juhász, "Cardinal functions in topology" , North-Holland (1971)
How to Cite This Entry:
Weight of a topological space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Weight_of_a_topological_space&oldid=32844
This article was adapted from an original article by P.S. Aleksandrov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article