Difference between revisions of "Weight of a topological space"
From Encyclopedia of Mathematics
(Importing text file) |
({{TEX|done}}) |
||
| Line 1: | Line 1: | ||
| + | {{TEX|done}} | ||
The smallest cardinal number which is the cardinality of an open [[Base|base]] of the [[Topological space|topological space]]. The weight, together with the cardinality, is the most important cardinal invariant of a topological space. | The smallest cardinal number which is the cardinality of an open [[Base|base]] of the [[Topological space|topological space]]. The weight, together with the cardinality, is the most important cardinal invariant of a topological space. | ||
Revision as of 15:45, 11 August 2014
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=16366
Weight of a topological space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Weight_of_a_topological_space&oldid=16366
This article was adapted from an original article by P.S. Aleksandrov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article