VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
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  • The geometry and fundamental groups of solenoid complements
    Conner, Gregory R. ; Meilstrup, Mark H., 1980- ; Repovš, Dušan, 1954-
    A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its complement is an open three manifold. We discuss the geometry and fundamental groups of such manifolds, and ... show that the complements of different solenoids (arising from different inverse limits) have different fundamental groups. Embeddings of the same solenoid can give different groups; in particular, the nicest embeddings are unknotted at each level, and give an Abelian fundamental group, while other embeddings have non-Abelian groups. We show using geometry that every solenoid has uncountably many embeddings with nonhomeomorphic complements.
    Vir: Journal of knot theory and its ramifications. - ISSN 0218-2165 (Vol. 24, iss. 14, 2015, 20 str.)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17540697

    Povezava(-e):

    http://dx.doi.org/10.1142/S0218216515500698
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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