Timeline for locally connected versus locally compact
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Oct 13, 2011 at 22:05 | comment | added | David White | For all points p and for all neighborhoods U there is a smaller neighborhood V satisfying the property. I think this is the standard for every locally <blank> other than locally compact | |
Oct 13, 2011 at 20:20 | history | edited | André Caldas | CC BY-SA 3.0 |
Fixed math statement.
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Oct 13, 2011 at 14:52 | comment | added | André Caldas | Which one is your "standard 'locally <blank>' definition"? :-) | |
Oct 13, 2011 at 13:58 | comment | added | David White | Wow, I never knew this! I always figured the strange definition was to give nice properties, but in fact the nice properties are all for locally compact Hausdorff spaces (e.g. they are characterized by being open subspaces of compact Hausdorff spaces), so I'm guessing point-set topology courses everywhere could just use the standard "locally <blank>" definition and avoid this confusion completely. | |
Oct 13, 2011 at 4:01 | history | answered | André Caldas | CC BY-SA 3.0 |