On special saturated sets / O specjalnych zbiorach nasyconych
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
In the paper the examples of sets which are ’nice’ in algebraical sense and saturated non-measurable with respect to the Lebesgue measure are considered. It is investigated under what conditions on measurable space those sets remain saturated non-measurable. Obtained conditions are close but not equivalent to the Steinhaus and Smital properties.
Authors and Affiliations
Aleksandra Karasińska, Sebastian Lindner
Effective Lojasiewicz gradient inequality for generic Nash functions with isolated singularity / Efektywna nierówność Łojasiewicza z gradientem dla generycznej funkcji Nasha z izolowana osobliwością
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Separating transformation and extremal decomposition of the complex plane / Przekształcenie oddzielające i eksperymentalny rozkład płaszczyzny zespolonej
The paper is devoted to extremal problems of the geometric function theory of complex variable associated with estimates of functionals defined on systems of non-overlapping do- mains. In particular, focus of investigati...
Duality Principle for some σ-ideals of subsets of the real line / Zasada dualności dla pewnych σ- ideałów podzbiorów prostej rzeczywistej
In this note there is proved that a theorem analogous to Sierpinski-Erdös duality theorem for some σ -ideals of subsets of the real line and the family of sets of the first category on the real line is valid.
Topological entropy and homogeneous measure for a solenoid / Entropia topologiczna i miara jednorodna dla solenoidu
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Molecular organization in pentacene thin film on SiO2 surface using spec-troscopic ellipsometry, infrared spectroscopy, and atomic force microscopy / Organizacja molekularna w warstwie pentacenu osadzonej na powierzchni SiO2 przebadana elipsometrią , spektroskopią podczerwieni i mikroskopią sił atomowych
Thin films of pentacene of 32-nm thickness obtained by organic molecular beam depo- sition (OMBD) in high vacuum conditions onto silicon/native silica (Si/SiO2) and fused silica substrates were examined. Anisotropic opti...