ALL libraries (COBIB.SI union bibliographic/catalogue database)
PDF
  • 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.
    Source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 370, no. 3, March 2018, str. 2039-2055)
    Type of material - article, component part
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 18165593

    Link(s):

    http://dx.doi.org/10.1090/tran/7035
    Repository of the University of Ljubljana – RUL
    DOI

Shelf entry