Difference between revisions of "Talk:Compact-open topology"
From Encyclopedia of Mathematics
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:That is what is in the original English text. I presume that the intended meaning is that $X_i$ is a subset of $X$ which is compact and Hausdorff with respect to the inherited topology. The wording "subspace" rather than "subset" might be clearer. The question of whether Hausdorff is a usual requirement in this situation is doubtful: Kelley for example does not include this. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 18:52, 28 December 2016 (CET) | :That is what is in the original English text. I presume that the intended meaning is that $X_i$ is a subset of $X$ which is compact and Hausdorff with respect to the inherited topology. The wording "subspace" rather than "subset" might be clearer. The question of whether Hausdorff is a usual requirement in this situation is doubtful: Kelley for example does not include this. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 18:52, 28 December 2016 (CET) | ||
::Yes, I also feel the doubt: what for to require it? [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 07:01, 29 December 2016 (CET) | ::Yes, I also feel the doubt: what for to require it? [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 07:01, 29 December 2016 (CET) | ||
| + | ::::It is also not mentioned in the article on [[Space of mappings, topological]], so I propose to remove the word "Hausdorff". [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 08:30, 29 December 2016 (CET). | ||
Revision as of 07:30, 29 December 2016
"where $X_i$ is a compact Hausdorff subset of $X$" — really? I never saw "Hausdorff set", only space... Boris Tsirelson (talk) 18:33, 28 December 2016 (CET)
- That is what is in the original English text. I presume that the intended meaning is that $X_i$ is a subset of $X$ which is compact and Hausdorff with respect to the inherited topology. The wording "subspace" rather than "subset" might be clearer. The question of whether Hausdorff is a usual requirement in this situation is doubtful: Kelley for example does not include this. Richard Pinch (talk) 18:52, 28 December 2016 (CET)
- Yes, I also feel the doubt: what for to require it? Boris Tsirelson (talk) 07:01, 29 December 2016 (CET)
- It is also not mentioned in the article on Space of mappings, topological, so I propose to remove the word "Hausdorff". Richard Pinch (talk) 08:30, 29 December 2016 (CET).
- Yes, I also feel the doubt: what for to require it? Boris Tsirelson (talk) 07:01, 29 December 2016 (CET)
How to Cite This Entry:
Compact-open topology. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Compact-open_topology&oldid=40087
Compact-open topology. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Compact-open_topology&oldid=40087