Add to ORKGWe re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density topologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman and to Borwein and Ditor. We hence give a unified proof of the measure and category cases of Uniform Convergence Theorem for slowly varying functions. We also extend results on very slowly varying functions of Ash, Erdős and Rubel
Abstract. We study and characterize stability, NIP and NSOP in terms of topological and measure theo...
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms (Bingham and Ost...
Abstract. The in\u85nite combinatorics here give statements in which, from some sequence, an in\u85n...
We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the...
We deduce both the measure and the category cases of the theorem in the title from one category theo...
International audienceConvergence almost everywhere cannot be induced by a topology, and if measure ...
We study functions of bounded variation with values in a Banach or in a metric space. In finite dime...
The theory of regular variation is largely complete in one dimension, but is developed under regular...
AbstractThe theory of regular variation is largely complete in one dimension, but is developed under...
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms [BOst11], we uni...
AbstractThe paper consists of two sections. Section 1 is the introduction which, in addition to the ...
We show that the category ConvB of convergence space over B is a convenient fategory for any B⊂Conv....
In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped accordi...
Abstract. This paper is a sequel to both Ash, Erdös and Rubel [AER], on very slowly varying functio...
AbstractMotivated by the Category Embedding Theorem, as applied to convergent automorphisms (Bingham...
Abstract. We study and characterize stability, NIP and NSOP in terms of topological and measure theo...
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms (Bingham and Ost...
Abstract. The in\u85nite combinatorics here give statements in which, from some sequence, an in\u85n...
We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the...
We deduce both the measure and the category cases of the theorem in the title from one category theo...
International audienceConvergence almost everywhere cannot be induced by a topology, and if measure ...
We study functions of bounded variation with values in a Banach or in a metric space. In finite dime...
The theory of regular variation is largely complete in one dimension, but is developed under regular...
AbstractThe theory of regular variation is largely complete in one dimension, but is developed under...
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms [BOst11], we uni...
AbstractThe paper consists of two sections. Section 1 is the introduction which, in addition to the ...
We show that the category ConvB of convergence space over B is a convenient fategory for any B⊂Conv....
In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped accordi...
Abstract. This paper is a sequel to both Ash, Erdös and Rubel [AER], on very slowly varying functio...
AbstractMotivated by the Category Embedding Theorem, as applied to convergent automorphisms (Bingham...
Abstract. We study and characterize stability, NIP and NSOP in terms of topological and measure theo...
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms (Bingham and Ost...
Abstract. The in\u85nite combinatorics here give statements in which, from some sequence, an in\u85n...