Finiteness of nonzero degree maps between three-manifolds
Geometric Topology
2019-11-20 v3
Abstract
In this paper, it is shown that every orientable closed 3-manifold maps with nonzero degree onto at most finitely many homeomorphically distinct irreducible non-geometric orientable closed 3-manifolds. Moreover, given any nonzero integer, as a mapping degree up to sign, every orientable closed 3-manifold maps with that degree onto only finitely many homeomorphically distinct orientable closed 3-manifolds.
Cite
@article{arxiv.1107.5855,
title = {Finiteness of nonzero degree maps between three-manifolds},
author = {Yi Liu},
journal= {arXiv preprint arXiv:1107.5855},
year = {2019}
}
Comments
34 pages, 3 figures; accepted for publication by Journal of Topology