Name
Abstract | ||
|---|---|---|
We will present proofs for two conjectures stated in Rot (Homotopy classes of proper maps out of vector bundles, 2020. arXiv:1808.08073). The first one is that for an arbitrary manifold W, the homotopy classes of proper maps $$W\times \mathbb {R}^n\rightarrow \mathbb {R}^{k+n}$$ stabilise as $$n\rightarrow \infty $$, and the second one is that in a stable range there is a Pontryagin–Thom type bijection for proper maps $$W\times \mathbb {R}^n\rightarrow \mathbb {R}^{k+n}$$. The second one actually implies the first one and we shall prove the second one by giving an explicit construction. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s10998-020-00327-0 | Periodica Mathematica Hungarica |
Keywords | DocType | Volume |
Proper maps, Framed cobordism, Pontryagin-Thom construction | Journal | 80 |
Issue | ISSN | Citations |
2 | 0031-5303 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Csépai András | 1 | 0 | 0.34 |