Timeline for Existence of a proper Morse function
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 21, 2021 at 11:09 | comment | added | Danny Ruberman | In that proposition, X is embedded as a subcomplex, so I think you have a chance. Have a look at the proof, which suggests that the neighborhood N is built cell by cell. | |
| Aug 20, 2021 at 21:44 | comment | added | piper1967 | If I embed the CW complex $X$ in $R^{2n}$ from Hatcher Appendix A.5. there is an open neighborhood $N(X,\epsilon)$ so that $X$ is a deformation retract of the neighborhood. Here I meant normal tubular neighborhood of the CW complex. | |
| Aug 20, 2021 at 15:00 | comment | added | Danny Ruberman | Maybe you could explain a bit more about what kind of embedding you have in mind. For instance, what does regular neighborhood mean? For PL embedding of complexes this is standard and your question sounds plausible, but is there a well-defined notion of regular neighborhood for a topological embedding? | |
| Aug 20, 2021 at 7:13 | history | asked | piper1967 | CC BY-SA 4.0 |