Timeline for Defining topological spaces with the notion of continuous path
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 13, 2012 at 1:14 | comment | added | Jeff Smith | The existence of space filling curves means that $\Delta$-generated spaces and interval generated spaces are the same. | |
| Feb 1, 2012 at 0:18 | comment | added | Mike Shulman | Well, cubes are homeomorphic to simplices (both are homeomorphic to balls), so a cube-generated space would be the same as a $\Delta$-generated one. | |
| Jan 30, 2012 at 22:12 | comment | added | David Roberts♦ | Something like a cube-generated space? | |
| Jan 27, 2012 at 17:00 | comment | added | Guillaume Brunerie | Sorry if it wasn’t clear enough, but I’m not only including the paths, but also the homotopies between paths, homotopies between homotopies between paths, and so on. This seems indeed very similar to the notion of $\Delta$-generated space, thanks (but another descriptions of those properties would be nice) | |
| Jan 27, 2012 at 15:30 | history | answered | Mike Shulman | CC BY-SA 3.0 |