Difference between revisions of "Talk:Semi-continuous decomposition"
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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. [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 11:50, 10 December 2016 (CET) | Here "decomposition" means a closed disjoint covering of a topological space, but the linked article "[[Decomposition]]" does not mention this meaning. [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk: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]], [https://books.google.co.uk/books?id=UrsHbOjiR8QC&pg=PA61]; the other ("Alexandrov decomposition") a partition into closed sets as used here [https://books.google.co.uk/books?id=AVVSdnLemYUC&pg=PA45]. 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. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 12:36, 10 December 2016 (CET) | ||
Latest revision as of 11:36, 10 December 2016
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)
How to Cite This Entry:
Semi-continuous decomposition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-continuous_decomposition&oldid=39947
Semi-continuous decomposition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-continuous_decomposition&oldid=39947