Timeline for Continuous relations?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
|
|
| Mar 18, 2018 at 3:40 | comment | added | user57432 | @Lehs: I think you can also define another notion of continuity of relations (motivated by this) by saying that a relation $R:X\to Y$ is said to be continuous at a point $x\in X$ iff for any neighborhood $V$ of $R(\{x\})$ there exists a neighborhood $U$ of $x$ such that $R(U)\subseteq V$. (Here $R(\{x\}):=\{y\in Y:(x,y)\in R\}$ and $R(U)$ is as defined in Definition 1). I don't know (at least till now) whether this definition even satisfies any of $(1),(2)$ or $(3)$ but I think it is worth a try. | |
| Mar 16, 2018 at 17:56 | history | edited | user57432 | CC BY-SA 3.0 |
added 2406 characters in body
|
| Mar 16, 2018 at 17:35 | history | answered | user57432 | CC BY-SA 3.0 |