Add to ORKGAbstract. For dimension Dind introduced by A. Arhangel’skij (cf. [2]) we prove that Dind is finite iff the large inductive dimension Ind is finite. We also establish various sum and product theorems for Dind more strong than ones for Ind in [10]. 1
AbstractFor a given simplicial complex K, V.V. Fedorchuk has recently introduced the dimension funct...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractWe introduce Dedekind sums of a new type defined over finite fields. These are similar to th...
AbstractIn Iliadis (2005) [4] base dimension-like functions of the type ind were introduced. These f...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
AbstractMain results are:1.Let Y be a closed subspace of a hereditarily normal X such that K-IndY⩽n ...
Almost zero-dimensionality is a relatively new dimension theoretic concept that fits neatly between ...
summary:In this paper we study the behavior of the (transfinite) small inductive dimension $(trind)$...
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee t...
AbstractThe following analogue of the Erdös–Szemerédi sum-product theorem is shown. Let A=f1,⋯,fN be...
Let A and B be two finite sets of numbers. The sum set and the product set of A, B are A + B = {a ...
We prove results in arithmetic combinatorics involving sums of prime numbers and also some variants ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
Let D be an almost Dedekind domain that is not Dedekind, M be a non-invertible maximal ideal of D, X...
We show that in finitely generated congruence distributive varieties every absolute retract is a p...
AbstractFor a given simplicial complex K, V.V. Fedorchuk has recently introduced the dimension funct...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractWe introduce Dedekind sums of a new type defined over finite fields. These are similar to th...
AbstractIn Iliadis (2005) [4] base dimension-like functions of the type ind were introduced. These f...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
AbstractMain results are:1.Let Y be a closed subspace of a hereditarily normal X such that K-IndY⩽n ...
Almost zero-dimensionality is a relatively new dimension theoretic concept that fits neatly between ...
summary:In this paper we study the behavior of the (transfinite) small inductive dimension $(trind)$...
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee t...
AbstractThe following analogue of the Erdös–Szemerédi sum-product theorem is shown. Let A=f1,⋯,fN be...
Let A and B be two finite sets of numbers. The sum set and the product set of A, B are A + B = {a ...
We prove results in arithmetic combinatorics involving sums of prime numbers and also some variants ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
Let D be an almost Dedekind domain that is not Dedekind, M be a non-invertible maximal ideal of D, X...
We show that in finitely generated congruence distributive varieties every absolute retract is a p...
AbstractFor a given simplicial complex K, V.V. Fedorchuk has recently introduced the dimension funct...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractWe introduce Dedekind sums of a new type defined over finite fields. These are similar to th...