Individual ergodic theorem in a regular space
Induced ...-Homomorphisms and a Parametrization of Measurable Sections via Extremal Preimage Measures.
Induced measures on Wallman spaces.
Induzierte Maße bei Lürothschen Reihen.
Inégalités isopérimétriques en analyse et probabilités
Infimum-convolution description of concentration properties of product probability measures, with applications
Infinite combinatorics in Function spaces: Category methods
Infinite Iterated Function Systems: A Multivalued Approach
We prove that a compact family of bounded condensing multifunctions has bounded condensing set-theoretic union. Compactness is understood in the sense of the Chebyshev uniform semimetric induced by the Hausdorff distance and condensity is taken w.r.t. the Hausdorff measure of noncompactness. As a tool, we present an estimate for the measure of an infinite union. Then we apply our result to infinite iterated function systems.
Inhomogeneous Diophantine approximation with general error functions
Let α be an irrational and φ: ℕ → ℝ⁺ be a function decreasing to zero. Let
Inhomogeneous self-similar sets and box dimensions
We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions. Secondly, we investigate the more difficult problem of computing the lower box dimension. We give some non-trivial bounds and provide examples to show that lower box dimension behaves much more strangely than upper box dimension, Hausdorff dimension and packing dimension.
Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
The main aim of this paper is to give a simpler proof of the following assertion. Let A be an analytic non-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.
Inserting measurable functions precisely
A family of subsets of a set is called a -topology if it is closed under arbitrary countable unions and arbitrary finite intersections. A -topology is perfect if any its member (open set) is a countable union of complements of open sets. In this paper perfect -topologies are characterized in terms of inserting lower and upper measurable functions. This improves upon and extends a similar result concerning perfect topologies. Combining this characterization with a -topological version of Katětov-Tong...
Integrace podle Hausdorffovy míry na hladké ploše
Integral de Riemann num espaço topológico geral
Integral extension with locally-integral seminorm
Integral functionals determined by their minima
Integral Representation in the Set of Solutions of a Generalized Moment Problem.
Integral representations of non-linear functionals
Integral Self-Affine Tiles in ... Part II: Lattice Tilings.