AbstractIn the paper we study a relation between irregular subsets of the Grassmanian manifolds and projections of k-dimensional subsets of Rn onto k-dimensional planes. We also consider applications of th results to study universal k-dimensional spaces
AbstractThe Continuum Hypothesis implies an Erdös–Sierpiński like duality between the ideal of first...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...
AbstractIn the paper we study a relation between irregular subsets of the Grassmanian manifolds and ...
A continuous map $\mathbb{C}^n\to Gr(\tau, N)$ is $k$-regular if the $\tau$-dimensional subspaces co...
AbstractThe paper is devoted to the study of the following question: when does a k-dimensional subse...
AbstractWe consider a question raised by John Cobb: given positive integers n>l>k is there a Cantor ...
Let $G_{n,k}$ denote the real Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb R^n...
AbstractFor arbitrary integers d,m with d>m⩾1, we construct a Cantor set in Rd such that its project...
Let $A \subseteq \mathbb{R}^n$ be analytic. An exceptional set of projections for $A$ is a set of $k...
AbstractLet X⊂PCr be a smooth variety of dimension n and degree d. There is a well-known conjecture ...
AbstractThe main aim of the paper is to prove that every nonempty member P of the algebra of subsets...
AbstractLet V be an infinite-dimensional vector space. We define Grassmannians of V as orbits of the...
AbstractTwo regular packings of PG(3,q) are constructed wheneverq≡2(mod3), with each packing admitti...
AbstractIt is proved that every geometric hyperplane of an embeddable Grassmann space of finite rank...
AbstractThe Continuum Hypothesis implies an Erdös–Sierpiński like duality between the ideal of first...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...
AbstractIn the paper we study a relation between irregular subsets of the Grassmanian manifolds and ...
A continuous map $\mathbb{C}^n\to Gr(\tau, N)$ is $k$-regular if the $\tau$-dimensional subspaces co...
AbstractThe paper is devoted to the study of the following question: when does a k-dimensional subse...
AbstractWe consider a question raised by John Cobb: given positive integers n>l>k is there a Cantor ...
Let $G_{n,k}$ denote the real Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb R^n...
AbstractFor arbitrary integers d,m with d>m⩾1, we construct a Cantor set in Rd such that its project...
Let $A \subseteq \mathbb{R}^n$ be analytic. An exceptional set of projections for $A$ is a set of $k...
AbstractLet X⊂PCr be a smooth variety of dimension n and degree d. There is a well-known conjecture ...
AbstractThe main aim of the paper is to prove that every nonempty member P of the algebra of subsets...
AbstractLet V be an infinite-dimensional vector space. We define Grassmannians of V as orbits of the...
AbstractTwo regular packings of PG(3,q) are constructed wheneverq≡2(mod3), with each packing admitti...
AbstractIt is proved that every geometric hyperplane of an embeddable Grassmann space of finite rank...
AbstractThe Continuum Hypothesis implies an Erdös–Sierpiński like duality between the ideal of first...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...
summary:A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line...