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A three-manifold is a space that locally looks like Euclidean three-dimensional space

7 votes
1 answer
235 views

Expositions of Stallings's fibration theorem

In his famous paper Stallings, John, On fibering certain 3-manifolds. 1962 Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) pp. 95–100 Prentice-Hall, Englewood C …
Laura's user avatar
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7 votes
1 answer
366 views

Two details from Stallings's proof of the sphere theorem

EDIT: After a little prompting by Mark Grant, I answered the first question in the comments. The second question remains open. Let $M$ be a compact $3$-manifold with $\pi_2(M) \neq 0$. The sphere t …
Laura's user avatar
  • 353