Artykuły naukowe | Articles

Baire Category Lower Density Operators with Borel Values

Sun, 01 Jan 2023 00:00:00 GMT

Baire Category Lower Density Operators with Borel Values Balcerzak, Marek; Hejduk, Jacek; Wachowicz, Artur We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class Π⁰₃ which is analogous to the measure case. We also introduce the notion of the Baire category density point of a subset with the Baire property of the Cantor space, and we prove that it generates a lower density operator with Borel values of class Π⁰₃.

On the lattice of polynomials with integer coefficients: successive minima in L2 (0, 1)

Wed, 01 Jan 2020 00:00:00 GMT

On the lattice of polynomials with integer coefficients: successive minima in L2 (0, 1) Banaszczyk, Wojciech

Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities

Tue, 01 Jan 2019 00:00:00 GMT

Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities Michalska, Maria; Walewska, Justyna The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f=∑qα+pβ ≥ pqcαβ xαyβ where cp0c0q≠0, 2≤p

An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures

Tue, 01 Jan 2019 00:00:00 GMT

An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures Niedziałomski, Kamil For a Riemannian G-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we interpret in certain cases. We focus on almost Hermitian and almost contact metric structures. Mathematics Subject Classification 53C10 · 53C24 · 53C43