Timeline for A generalization of metric spaces
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 22, 2021 at 0:33 | answer | added | Cla | timeline score: 2 | |
| Jun 22, 2020 at 18:31 | answer | added | Chilote | timeline score: 3 | |
| Jun 22, 2020 at 18:07 | history | became hot network question | |||
| Jun 22, 2020 at 15:44 | vote | accept | Monroe Eskew | ||
| Jun 22, 2020 at 14:41 | answer | added | shane.orourke | timeline score: 10 | |
| Jun 22, 2020 at 14:26 | answer | added | Tim Porter | timeline score: 4 | |
| Jun 22, 2020 at 13:46 | comment | added | Monroe Eskew | @LSpice Good question. Consider an ultrapower of $\mathbb R$ by a nonprincipal ultrafilter on $\mathbb N$, call it $\mathbb R^*$. The interval topology on $\mathbb R^*$ is not first-countable. But the absolute value of differences gives a weak metric. | |
| Jun 22, 2020 at 13:43 | answer | added | Gabe Conant | timeline score: 11 | |
| Jun 22, 2020 at 13:36 | comment | added | LSpice | What's an easy example of such an $(X, L)$ that can't be 'reduced' to $[0, \infty)$, in the sense that there is (well, isn't) an order-preserving (and, say, sub-additive?) map $L \to [0, \infty)$ such that the resulting $X^2 \to [0, \infty)$ gives the same topology? | |
| Jun 22, 2020 at 11:37 | comment | added | Dave L Renfro | I don't know anything about this, but if you don't know where to begin and no one else has a good suggestion, then maybe try looking through some of Leonard M. Blumenthal's work, and the topics of metric lattices and metric semilattices. | |
| Jun 22, 2020 at 10:03 | history | asked | Monroe Eskew | CC BY-SA 4.0 |