Open and discrete maps with piecewise linear branch set images are piecewise linear maps
Finna-arvio
Open and discrete maps with piecewise linear branch set images are piecewise linear maps
1809.10874.pdf
(Jyväskylän yliopisto - JYX)
The image of the branch set of a piecewise linear (PL)‐branched cover between PL 𝑛n‐manifolds is a simplicial (𝑛−2)(n−2)‐complex. We demonstrate that the reverse implication also holds: an open and discrete map 𝑓:𝕊𝑛→𝕊𝑛f:Sn→Sn with the image of the branch set contained in a simplicial (𝑛−2)(n−2)‐complex is equivalent up to homeomorphism to a PL‐branched cover.
Tallennettuna:
| Kieli |
englanti |
|---|---|
| Sarja | Journal of the London Mathematical Society, 3 |
| Aiheet | |
| ISSN |
0024-6107 |