Talk:Semi-continuous decomposition

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, as used for example at Quotient mapping, [1]; the other ("Alexandrov decomposition") a partition into closed sets as used here [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) 12:36, 10 December 2016 (CET)