Timeline for What sets of self-maps are the continuous self-maps under some topology?
Current License: CC BY-SA 3.0
8 events
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| Jul 9, 2013 at 4:29 | comment | added | Benjamin Steinberg | @Joel, more bad examples can be constructed by taking primitive permutation groups. See my addition. | |
| Jul 9, 2013 at 4:27 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
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| Jul 9, 2013 at 3:50 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
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| Jul 9, 2013 at 3:47 | comment | added | Joel David Hamkins | Yes, that was the guiding idea of my example. | |
| Jul 9, 2013 at 3:45 | comment | added | Benjamin Steinberg | @Joel, oops I read your example too quickly but it is the same issue. Each orbit of the group must have either the discrete or indiscrete topology. So you can crush 1 orbit and leave the other alone. | |
| Jul 9, 2013 at 3:39 | comment | added | Joel David Hamkins | Thanks, Benjamin. But is my example really a special case of this? After all, my group of permutations is not transitive, and I had thought of that as a key reason why it worked. | |
| Jul 9, 2013 at 3:37 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
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| Jul 9, 2013 at 3:31 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |