Timeline for What sets of self-maps are the continuous self-maps under some topology?
Current License: CC BY-SA 3.0
5 events
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| Jul 9, 2013 at 13:31 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
added 791 characters in body; added 32 characters in body; added 81 characters in body
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| Jul 9, 2013 at 3:41 | comment | added | Benjamin Steinberg | @dfeuer, I put in a second answer since my first answer is perhaps dual in some sense to your question. | |
| Jul 9, 2013 at 2:51 | comment | added | Benjamin Steinberg | Well it says that the monoid of cts functions on a space can be extremely general. Take any monoid you like, no matter how ugly it is, and there is a space whose endomorphism monoid is this guy and the constants. So there is no real hope to say anything nice about what the semigroup of cts mappings on a space is like from a purely algebraic point of view. | |
| Jul 9, 2013 at 2:15 | comment | added | dfeuer | Could someone explain how this result is more than superficially related to the question? Am I missing something important? | |
| Jul 8, 2013 at 19:50 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |