Mathematics of the USSR-Izvestiya
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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 1, Pages 73–79
DOI: https://doi.org/10.1070/IM1971v005n01ABEH001009 (Mi im1914) 		 
Homology spheres and contractible compact manifolds

A. Z. Dymov
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DOI: https://doi.org/10.1070/IM1971v005n01ABEH001009
Abstract: 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.
Received: 01.06.1970
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 1, Pages 72–77
Bibliographic databases:
UDC: 513.8
MSC: Primary 57D50, 57C99; Secondary 57A70, 57D60, 55E05
Language: English
Original paper language: Russian
Citation: A. Z. Dymov, “Homology spheres and contractible compact manifolds”, Izv. Akad. Nauk SSSR Ser. Mat., 35:1 (1971), 72–77; Math. USSR-Izv., 5:1 (1971), 73–79
Citation in format AMSBIB
\Bibitem{Dym71}
\by A.~Z.~Dymov
\paper Homology spheres and contractible compact manifolds
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 1
\pages 72--77
\mathnet{http://mi.mathnet.ru/im1914}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=287549}
\zmath{https://zbmath.org/?q=an:0218.57021}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 1
\pages 73--79
\crossref{https://doi.org/10.1070/IM1971v005n01ABEH001009}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:238
    Russian version PDF:159
    English version PDF:7
    References:37
    First page:1
     
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