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Lower limit

From Encyclopedia of Mathematics
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of a sequence of sets of a topological space

The collection of points every neighbourhood of which intersects all elements of the sequence from some onwards.

For the lower limit of a sequence of numbers see Upper and lower limits.


Comments

The lower limit of is denoted by .

References

[a1] K. Kuratowski, "Topology" , 1 , PWN & Acad. Press (1966) (Translated from French)
How to Cite This Entry:
Lower limit. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lower_limit&oldid=15234
This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article