Difference between revisions of "Talk:Space of mappings, topological"
From Encyclopedia of Mathematics
(Created page with "== Topology of uniform convergence == The usage of the phrase ''topology of uniform convergence'' here does not seem to be the same as that of the article Topology of unifor...") |
(→Topology of uniform convergence: error of the author?) |
||
| Line 1: | Line 1: | ||
== Topology of uniform convergence == | == Topology of uniform convergence == | ||
The usage of the phrase ''topology of uniform convergence'' here does not seem to be the same as that of the article [[Topology of uniform convergence]]. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 17:54, 29 December 2016 (CET) | The usage of the phrase ''topology of uniform convergence'' here does not seem to be the same as that of the article [[Topology of uniform convergence]]. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 17:54, 29 December 2016 (CET) | ||
| + | :Yes! And moreover, this is probably an irrecoverable error of the author (Arkhangel'skii); the same error manifests itself in the [http://dic.academic.ru/dic.nsf/enc_mathematics/4460/%D0%9F%D0%A0%D0%9E%D0%A1%D0%A2%D0%A0%D0%90%D0%9D%D0%A1%D0%A2%D0%92%D0%9E Russian version]. First, the topology of uniform convergence really depends on the uniform structure (not just topology) on Y. Second, even for Y=[0,1] I do not see how to define the topology of uniform convergence that way (no matter what is the family S) when it is different from the compact-open topology (which happens easily when X is not compact). [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 22:04, 29 December 2016 (CET) | ||
Revision as of 21:04, 29 December 2016
Topology of uniform convergence
The usage of the phrase topology of uniform convergence here does not seem to be the same as that of the article Topology of uniform convergence. Richard Pinch (talk) 17:54, 29 December 2016 (CET)
- Yes! And moreover, this is probably an irrecoverable error of the author (Arkhangel'skii); the same error manifests itself in the Russian version. First, the topology of uniform convergence really depends on the uniform structure (not just topology) on Y. Second, even for Y=[0,1] I do not see how to define the topology of uniform convergence that way (no matter what is the family S) when it is different from the compact-open topology (which happens easily when X is not compact). Boris Tsirelson (talk) 22:04, 29 December 2016 (CET)
How to Cite This Entry:
Space of mappings, topological. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Space_of_mappings,_topological&oldid=40092
Space of mappings, topological. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Space_of_mappings,_topological&oldid=40092