Difference between revisions of "Talk:Compact-open topology"
From Encyclopedia of Mathematics
(That is what is in the original English text) |
(yes, doubtful) |
||
| Line 1: | Line 1: | ||
"where $X_i$ is a compact Hausdorff subset of $X$" — really? I never saw "Hausdorff set", only space... [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 18:33, 28 December 2016 (CET) | "where $X_i$ is a compact Hausdorff subset of $X$" — really? I never saw "Hausdorff set", only space... [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk: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. [[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) | ||
Revision as of 06:01, 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)
How to Cite This Entry:
Compact-open topology. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Compact-open_topology&oldid=40081
Compact-open topology. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Compact-open_topology&oldid=40081