Degree one maps on four manifolds with cyclic fundamental groups

TL;DR

This paper investigates degree one maps between closed orientable 4-manifolds with cyclic fundamental groups, focusing on their existence, finiteness, and relations to Euler characteristics.

Contribution

It provides new results on the existence and finiteness of degree one maps and explores their relation to Euler characteristics in the context of 4-manifolds with cyclic fundamental groups.

Findings

Results on the existence of degree one maps.

Finiteness properties of such maps.

Relations between 1-domination and Euler characteristics.

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.