Timeline for Constructing a continuous function with a prescribed preimage
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 11, 2023 at 13:56 | vote | accept | Subhasish Mukherjee | ||
| Jun 10, 2023 at 17:35 | answer | added | Taras Banakh | timeline score: 2 | |
| Jun 9, 2023 at 19:32 | comment | added | Subhasish Mukherjee | Apologies for the confusion. I meant "an algebra" in the sense of a given algebra. | |
| Jun 9, 2023 at 18:54 | comment | added | Iosif Pinelis | Well, this is not what is said in your post, where it is said "The main goal is to construct a function that is continuous, but not continuous with respect to an algebra." | |
| Jun 9, 2023 at 18:37 | comment | added | Subhasish Mukherjee | I am not looking for an example but rather a generic procedure. In particular, I want to characterize for which algebras being $\mathcal A$ continuous implies continuity | |
| Jun 9, 2023 at 17:48 | comment | added | Iosif Pinelis | What about this example: $X=V=\mathbb R$, $f(x)=x$ for all real $x$, and $\mathcal A=\{\emptyset,X\}$? | |
| Jun 9, 2023 at 15:28 | history | asked | Subhasish Mukherjee | CC BY-SA 4.0 |