Timeline for Giving $\mathit{Top}(X,Y)$ an appropriate topology
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 17, 2013 at 19:38 | history | edited | Daniel Barter | CC BY-SA 3.0 |
added 10 characters in body
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| Apr 17, 2013 at 19:18 | comment | added | Daniel Barter | @Lennart: thanks for the comment! I have edited my answer to address your concerns. | |
| Apr 17, 2013 at 19:17 | history | edited | Daniel Barter | CC BY-SA 3.0 |
comments on the comments!
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| Apr 17, 2013 at 18:26 | comment | added | Lennart Meier | In all my experience, one really likes to have $Map(X,Y)$ really as a space not just as something like a functor from topological spaces to sets. As this works totally fine if everything is in the category of compactly generated spaces (which contain kind of all spaces usual topologists care about), there is usually no need to enlargen the category of topological spaces. | |
| Apr 17, 2013 at 15:56 | comment | added | Daniel Barter | I should add that I am still also learning homotopy theory and if anyone more experienced disagrees with my answer I would love to hear from you :D | |
| Apr 17, 2013 at 15:55 | history | answered | Daniel Barter | CC BY-SA 3.0 |