Timeline for Tychonoff-ization and Urysohn (functionally Hausdorff) topological spaces
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2022 at 14:29 | vote | accept | Gro-Tsen | ||
| Oct 16, 2019 at 12:24 | comment | added | KP Hart | @Robert Furber: I'm old school | |
| Oct 2, 2019 at 14:02 | comment | added | Robert Furber | Much as I esteem your expertise in general topology, I don't know why you insist "there is no $\beta X$". Some of us use $\beta X$ for the Gelfand spectrum of $C_b(X)$. This is the left adjoint to the forgetful functor from compact Hausdorff spaces to topological spaces. When restricted to completely regular spaces it agrees with any other construction of $\beta X$, such as Stone's or Čech's, as it has the same universal property. The map $X \rightarrow \beta X$ is then injective iff $X$ is functionally Hausdorff and an embedding iff $X$ is Tychonoff. | |
| Oct 2, 2019 at 12:10 | history | answered | KP Hart | CC BY-SA 4.0 |