Search
Search Results
-
K -subadditive andK -superadditive set-valued functions bounded on “large” setsWe prove that every K –subadditive set–valued map weakly K –upper bounded on a “large” set (e.g. not null–finite, not Haar–null or not a Haar–meager...
-
Further remarks on local K-boundedness of K-subadditive set-valued maps
Let X be an abelian metric group with an invariant metric, Y be a real normed space and K be a convex cone in Y . We prove that a K -subadditive ( K -supe...
-
-
The structure of random homeomorphisms
In order to understand the structure of the “typical” element of a homeomorphism group, one has to study how large the conjugacy classes of the group...
-
Another approach to K-subadditivity
In the paper the notion of weakly K -subadditive set-valued maps is introduced in such a way that F is weakly K -superadditive if and only if
... -
Some properties of differentiable p-adic functions
In this paper, using the tools from the lineability theory, we distinguish certain subsets of p -adic differentiable functions. Specifically, we show...
-
Chebyshev Centre of a Set. The Problem of Simultaneous Approximation of a Class by a Singleton Set
In earlier chapters we have been mostly concentred with the problem of best approximation of an element of a normed space by a given set from that...
-
A criterion on a repeller being a null set of any limit measure for stochastic differential equations
This paper studies limit behaviors of stationary measures for stochastic ordinary differential equations with nondegenerate noise and presents a...
-
Random walks, spectral gaps, and Khintchine’s theorem on fractals
This work addresses problems on simultaneous Diophantine approximation on fractals, motivated by a long standing problem of Mahler regarding Cantor’s...
-
Null-finite sets in topological groups and their applications
In the paper we introduce and study a new family of “small” sets which is tightly connected with two well known σ -ideals: of Haar-null sets and of...
-
-
Introduction
When I started on this mathematics endeavor, I knew I had to start with set theory. Various paradoxes hang in the air but I knew this subject is...