Geodesic
Homology spheres and contractible compact manifolds
Izvestiya. Mathematics , Tome 5 (1971) no. 1, pp. 73-79.

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Conditions are found for which $PL$-homeomorphic homology spheres are diffeomorphic. It is shown that compact contractible manifolds with diffeomorphic boundaries are diffeomorphic. An analog of the group $\Gamma_n$ of pseudoisotopies is investigated for compact contractible manifolds. 
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A. Z. Dymov. Homology spheres and contractible compact manifolds. Izvestiya. Mathematics , Tome 5 (1971) no. 1, pp. 73-79. http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a4/

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