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  • Contractible 3-manifolds and the double 3-space property
    Garity, Dennis, 1950- ; Repovš, Dušan, 1954- ; Wright, David, 1946-
    Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to ▫$\mathbb{R}^3$▫ and whose intersection is again homeomorphic to ▫$\mathbb{R}^3$▫. Using a ... family of generalizations of the Whitehead Link, we show that there are uncountably many contractible 3-manifolds with this double 3-space property. Using a separate family of generalizations of the Whitehead Link and using an extension of interlacing theory, we also show that there are uncountably many contractible 3-manifolds that fail to have this property.
    Vir: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 370, no. 3, March 2018, str. 2039-2055)
    Vrsta gradiva - članek, sestavni del
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18165593

    Povezava(-e):

    http://dx.doi.org/10.1090/tran/7035
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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