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| − | ''of a sequence <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609401.png" /> of sets of a topological space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609402.png" />''
| + | #REDIRECT[[Upper and lower limits|Upper and lower limits]]. |
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| − | The collection of points <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609403.png" /> every neighbourhood of which intersects all elements of the sequence from some <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609404.png" /> onwards.
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| − | For the lower limit of a sequence of numbers see [[Upper and lower limits|Upper and lower limits]].
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| − | ====Comments====
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| − | The lower limit of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609405.png" /> is denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l060/l060940/l0609406.png" />.
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| − | ====References====
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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> K. Kuratowski, "Topology" , '''1''' , PWN & Acad. Press (1966) (Translated from French)</TD></TR></table>
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Latest revision as of 15:18, 18 September 2012
How to Cite This Entry:
Lower limit. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lower_limit&oldid=28026
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