Timeline for What sets of self-maps are the continuous self-maps under some topology?
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| Jul 9, 2013 at 6:44 | comment | added | dfeuer | I'm not surprised that the properties at the end are not sufficient; they're extremely weak. I just haven't been able to come up with others! | |
| Jul 9, 2013 at 4:38 | comment | added | The Masked Avenger | I think the number of subsemigroups of the full transformation semigroup on n labeled points exceeds by far the number of topologies on the same sized set. There should be many such examples without a topology. | |
| Jul 9, 2013 at 2:27 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |