Timeline for The Tychonov cube $X^X$ of a compact space $X$ is a compact semigroup with the composition operation
Current License: CC BY-SA 4.0
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Jan 16, 2021 at 7:14 | vote | accept | andpe | ||
Jan 15, 2021 at 22:43 | history | edited | Henno Brandsma | CC BY-SA 4.0 |
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Jan 15, 2021 at 14:42 | comment | added | Henno Brandsma | Note that all this works for any space $X$ (compactness is not needed at all, but the author wanted a compact example for other reasons probably). Of course $X$ has to be Hausdorff if we want $X^X$ to be. | |
Jan 15, 2021 at 13:44 | history | edited | Henno Brandsma | CC BY-SA 4.0 |
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Jan 15, 2021 at 13:31 | history | answered | Henno Brandsma | CC BY-SA 4.0 |