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- W3203635081 abstract "M. Freedman and V. Krushkal introduced the notion of a link in a 3-manifold: a link $L$ is filling in $M$ if for any spine $G$ of $M$ disjoint from $L$, $pi_1(G)$ injects into $pi_1(M setminus L )$. Freedman and Krushkal show that there exist links in the $3$-torus $T^3$ that satisfy a weaker form of filling, but they leave open the question of whether $T^3$ contains an actual filling link. We answer this question affirmatively by proving in fact that every closed, orientable 3-manifold $M$ with $operatorname{rank}(pi_1(M)) = 3$ contains a filling link." @default.
- W3203635081 created "2021-10-11" @default.
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- W3203635081 date "2021-10-06" @default.
- W3203635081 modified "2023-09-27" @default.
- W3203635081 title "3-manifolds of rank 3 have filling links" @default.
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