Effective Lojasiewicz gradient inequality for generic Nash functions with isolated singularity / Efektywna nierówność Łojasiewicza z gradientem dla generycznej funkcji Nasha z izolowana osobliwością
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 3
Abstract
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Authors and Affiliations
Krzysztof Kurdyka, Beata Osinska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja
Some noncommutative rings constructed on the base of polynomials x² + tx + 1 and their zero divisors
For any Galois field F = GF(pn) we construct some ring extension R(F) of order p4n. Such construction may be applied also for any infinite field F with char F 6= 0. Then, for any element of R(F) we give necessary and suf...
Some estimations of the Łojasiewicz exponent for polynomial mappings on semialgebraic sets / Pewne szacowania wykładnika Łojasiewicza dla odwzorowań wielomianowych na zbiorach semialgebraicznych
We strengthen some estimations of the local and global Lojasiewicz exponent for polynomial mappings on closed semialgebraic sets obtained by K. Kurdyka, S. Spodzieja and A. Szlachcińska in [4].
Invariants under conformal rescaling of the space-time - A study including consequences for the metric
The conformal transformations play crucial role in the analysis of global structure of the physical space-time. This paper shows some geometrical and physical objects which describe the space-time. There are also given t...
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.
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...