论文标题
$ pd_3 $ - 带有可压缩边界的
$PD_3$-pairs with compressible boundary
论文作者
论文摘要
我们扩展了Turaev和Bleile的工作,以放宽$π_1$发射率假设,以表征$ PD_3 $ - 带有非球形边界组件的基本三元组。这进一步扩展到对$(p,\ partial {p})$,它也具有球形边界组件,并带有$c.d.π_1(p)\ leq2 $。
We extend work of Turaev and Bleile to relax the $π_1$-injectivity hypothesis in the characterization of the fundamental triples of $PD_3$-pairs with aspherical boundary components. This is further extended to pairs $(P,\partial{P})$ which also have spherical boundary components and with $c.d.π_1(P)\leq2$.