Publications with Fulltext

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14288/6

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Now showing 1 - 4 of 4
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    PublicationOpen Access
    Toward an abstract cogalois theory (I): Kneser and Cogalois groups of cocycles
    (The Institute of Mathematics of the Romanian Academy, 2004) Basarab, Şerban A.; Department of Mathematics; Albu, Toma; Faculty Member; Department of Mathematics; College of Sciences
    This is the first part of a series of papers which aim to develop an abstract group theoretic framework for the Cogalois Theory of field extensions.
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    PublicationOpen Access
    On the number of solutions to the asymptotic plateau problem
    (Gökova Geometry Topology (GGT) Conferences, 2011) Department of Mathematics; Coşkunüzer, Barış; Faculty Member; Department of Mathematics; College of Sciences
    By using a simple topological argument, we show that the space of closed, orientable, codimension-1 submanifolds of Sn−1 1 (Hn) which bound a unique absolutely area minimizing hypersurface in Hn is dense in the space of closed, orientable, codimension-1 submanifolds of Sn−1 1 (Hn). In particular, in dimension 3, we prove that the set of simple closed curves in S2 1(H3) bounding a unique absolutely area minimizing surface in H3 is not only dense, but also a countable intersection of open dense subsets of the space of simple closed curves in S2 1(H3) with C0 topology. We also show that the same is true for least area planes in H3. Moreover, we give some non-uniqueness results in dimension 3.
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    PublicationOpen Access
    The weak phillips property
    (Institute of Mathematics, Polish Academy of Sciences, 2001) Department of Mathematics; Ülger, Ali; Faculty Member; Department of Mathematics; College of Sciences
    Let X be a Banach space. If the natural projection p : X∗∗∗ → X∗ is sequentially weak∗ -weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.
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    PublicationOpen Access
    A note on weakly compact homomorphisms between uniform algebras
    (Polish Academy of Sciences, 1997) Department of Mathematics; Ülger, Ali; Faculty Member; Department of Mathematics; College of Sciences