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Talk:Semi-continuous decomposition

From Encyclopedia of Mathematics
Revision as of 11:32, 10 December 2016 by Richard Pinch (talk | contribs) (Further discrepancies)
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Here "decomposition" means a closed disjoint covering of a topological space, but the linked article "Decomposition" does not mention this meaning. Boris Tsirelson (talk) 11:50, 10 December 2016 (CET)

There appear to be two fairly common uses of the word "decomposition" in topology, one simply synonymous with a partition [1], the other ("Alexandrov decomposition") a partition into closed sets [2]. There is also the issue that continuous decomposition is defined in that article in a way that turns out to be the same thing as an upper semi-continuous decomposition as defined here. Richard Pinch (talk) 12:32, 10 December 2016 (CET)
How to Cite This Entry:
Semi-continuous decomposition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-continuous_decomposition&oldid=39949