Add to ORKGFor non-negative integers $r\ge d$, how small can a subset $C\subset F_2^r$ be, given that for any $v\in F_2^r$ there is a $d$-flat passing through $v$ and contained in $C\cup\{v\}$? Equivalently, how large can a subset $B\subset F_2^r$ be, given that for any $v\in F_2^r$ there is a linear $d$-subspace not blocked non-trivially by the translate $B+v$? A number of lower and upper bounds are obtained
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
For a finite set P in the plane, let b(P) be the smallest possible size of a set Q, Q∩P=∅, such that...
For non-negative integers $r\ge d$, how small can a subset $C\subset F_2^r$ be, given that for any $...
Abstract. For non-negative integers r ≥ d, how small can a subset C ⊆ Fr2 be, given that for any v ∈...
Abstract. For a finite vector space V and a non-negative integer r ≤ dimV we es-timate the smallest ...
For a finite vector space V and a nonnegative integer r≤dim V, we estimate the smallest possible siz...
Simple proofs for Furstenberg sets over finite fields, Discrete Analysis 2021:22, 16 pp. A _Kakeya ...
In this paper we collect results on the possible sizes of k-blocking sets. Since previous surveys fo...
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
Let P be a partially ordered set. The function La* (n, P) denotes the size of the largest family F s...
A small minimal k-blocking set B in PG(n,q), q = p(t), p prime, is a set of less than 3(q(k)+1)/2 po...
AbstractWe obtain lower bounds for the size of a double blocking set in the Desarguesian projective ...
A blocking set in an affine plane is a set of points B such that every line contains at least one poin...
AbstractWe show that small blocking sets in PG(n, q) with respect to hyperplanes intersect every hyp...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
For a finite set P in the plane, let b(P) be the smallest possible size of a set Q, Q∩P=∅, such that...
For non-negative integers $r\ge d$, how small can a subset $C\subset F_2^r$ be, given that for any $...
Abstract. For non-negative integers r ≥ d, how small can a subset C ⊆ Fr2 be, given that for any v ∈...
Abstract. For a finite vector space V and a non-negative integer r ≤ dimV we es-timate the smallest ...
For a finite vector space V and a nonnegative integer r≤dim V, we estimate the smallest possible siz...
Simple proofs for Furstenberg sets over finite fields, Discrete Analysis 2021:22, 16 pp. A _Kakeya ...
In this paper we collect results on the possible sizes of k-blocking sets. Since previous surveys fo...
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
Let P be a partially ordered set. The function La* (n, P) denotes the size of the largest family F s...
A small minimal k-blocking set B in PG(n,q), q = p(t), p prime, is a set of less than 3(q(k)+1)/2 po...
AbstractWe obtain lower bounds for the size of a double blocking set in the Desarguesian projective ...
A blocking set in an affine plane is a set of points B such that every line contains at least one poin...
AbstractWe show that small blocking sets in PG(n, q) with respect to hyperplanes intersect every hyp...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
For a finite set P in the plane, let b(P) be the smallest possible size of a set Q, Q∩P=∅, such that...