Degree one maps on four manifolds with cyclic fundamental groups

Abstract

We study degree one maps between closed orientable 4-manifolds with cyclic ${\pi }_1$, and obtain some results on the existence and finiteness, as well as some relation of $1$-domination and Euler Characteristics.

19 pages

References in corpus (4)

• Stable classification of 4-manifolds with 3-manifold fundamental groups
• Finiteness of nonzero degree maps between three-manifolds
• Domination by geometric 4-manifolds
• Maps from 3-manifolds to 4-manifolds that induce isomorphisms on ${\pi }_1$