On semiregularization of the density-type topologies / O semiregularyzacji topologii typu gęstościowego
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 2
Abstract
We show that for several density topologies the semi-regularization of the topology is the coarsest topology for which the functions approximately continuous with respect to the topology are continuous. We show various methods of proof of this property and ask for characterization of density topologies with this property.
Authors and Affiliations
Jacek Hejduk, Władysław Wilczyński, Wojciech Wojdowski
On semiregularization of the density-type topologies / O semiregularyzacji topologii typu gęstościowego
We show that for several density topologies the semi-regularization of the topology is the coarsest topology for which the functions approximately continuous with respect to the topology are continuous. We show various m...
Lusin's type theorems for limitable functions / Twierdzenia typu Łuzina dla funkcji limesowalnych
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Representations and characters of Salingaros' vee groups of low order / Reprezentacje i charaktery grup vee Salingarosa niskiego rzędu
We study irreducible representations and characters of Salingaros' vee groups of orders 4, 8, and 16 as 2-groups of exponent 4. In particular, we construct complex irreducible group modules and explicit representations o...
On optimal subspaces for Kolmogorov widths of classes of 2π-periodic analytic functions
The following problem arises: to nd optimal subspaces for Kolmogorov widths of classes of convolutions with generated kernels, which may increase the oscillations.
The bounds of some determinants for functions of bounded turning of order alpha
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