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13 votes
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Proof of the stable homeomorphism conjecture

the paper is that the original version of the paper proved AC$_n$ only assuming another statement that he calls HT$_n$ (namely the assertion that the PL structure on the $n$-torus is unique up to PL homeomorphism
Allen Hatcher's user avatar
6 votes
Accepted

generators for the handlebody group of genus two

For example, if one considers $B$ as obtained by attaching a 1-handle $H$ to a handlebody $B'$ of genus one less than the genus of $B$, then the homeomorphism of $B$ obtained by dragging one end of $H$ …
Allen Hatcher's user avatar