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http://www.openstarts.units.it:80/dspace/handle/10077/3314
2014-07-25T06:43:05ZCompact groups with a dense free abelian subgroup
http://www.openstarts.units.it:80/dspace/handle/10077/9605
Title: Compact groups with a dense free abelian subgroup
Authors: Dikranjan, Dikran; Giordano Bruno, Anna
Abstract: The compact groups having a dense infinite cyclic subgroup (known as monothetic compact groups) have been studied by many authors for their relevance and nice applications. In this paper we describe in full details the compact groups $K$ with a dense free abelian subgroup $F$ and we describe the minimum rank $r_t(K)$ of such a subgroup $F$ of $K$. Surprisingly, it is either finite or coincides with the density character $d(K)$ of $K$.}
Type: Articolo2013-01-01T00:00:00ZMetrizability of hereditarily normal compact like groups
http://www.openstarts.units.it:80/dspace/handle/10077/9604
Title: Metrizability of hereditarily normal compact like groups
Authors: Dikranjan, Dikran; Impieri, Daniele; Toller, Daniele
Abstract: Inspired by the fact that a compact topological group is
hereditarily normal if and only if it is metrizable, we prove that various
levels of compactness-like properties imposed on a topological group G
allow one to establish that G is hereditarily normal if and only if G is
metrizable (among these properties are locally compactness, local minimality
and \omega-boundedness). This extends recent results from [4] in the
case of countable compactness.
Type: Articolo2013-01-01T00:00:00ZOn a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform
http://www.openstarts.units.it:80/dspace/handle/10077/9603
Title: On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform
Authors: Fukuda, Naohiro; Kinoshita, Tamotu
Abstract: We study the Cauchy problem for 2nd order weakly hyperbolic
equations. F. Colombini, E. Jannelli and S. Spagnolo showed a
coefficient degenerating at an infinite number of points, with which the Cauchy problem is ill-posed Gevrey classes. Moreover, we olso report numerical results of the singularity detection with wavelet trasform for coefficient functions.
Type: Articolo2013-01-01T00:00:00ZRecent progress on characterizing lattices C(X) and U(Y )
http://www.openstarts.units.it:80/dspace/handle/10077/9602
Title: Recent progress on characterizing lattices C(X) and U(Y )
Authors: Hušek, Miroslav; Pulgarín, Antonio
Abstract: Our effort to weaken algebraic assumptions led us to obtain
characterizations of C(X) as Riesz spaces, real l-groups, semi-affine
lattices and real lattices by using different techniques. We present a unified
approach valid for any “convenient” category. By setting equivalent
conditions to equi-uniform continuity, we obtain a characterization of
the lattice U(Y ) in parallel with that of C(X).
Type: Articolo2013-01-01T00:00:00Z