${\pi }_1$-injective bounding and application to 3- and 4-manifolds

Jianfeng Lin, Zhongzi Wang

Suppose a closed oriented $n$-manifold $M$ bounds an oriented $(n+1)$-manifold. It is known that $M$ ${\pi }_1$-injectively bounds an oriented $(n+1)$-manifold $W$. We prove that $π_1(W…