Add to ORKGWe produce an example of a Cantor set K such that for any definable map (in an o-minimal structure exponentially bounded) in k variables the image of the k-th cartesian power of K is nowhere dense. Then we give some consequences for the descriptive set theory
This dissertation is a collection of results in model theory, related in one way or another to field...
We consider definably complete Baire expansions of ordered fields: every definable subset of the dom...
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions ...
We produce an example of a Cantor set K such that for any definable map (in an o-minimal structure e...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
We first show that the projection image of a discrete definable set is again discrete for an arbitra...
The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den ...
We give an example of two ordered structures M, N in the same language L with the same universe, the...
AbstractGood ultrafilters produce topological ultraproducts which enjoy a strong Baire category prop...
This paper is a brief survey on an almost o-minimal structure, which was proposed by the author. A l...
AbstractA “bad Borel subfield” of a space X is an infinite countably σ-generated σ-subfield of Borel...
We show that if $X$ is virtually any classical fractal subset of $\mathbb{R}^n$, then $(\mathbb{R},<...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
The concept of definability of physical fields in a set-theoretical foundation is introduced. A set ...
In this paper we study properties of Σ–definability over the reals without the equality test which i...
This dissertation is a collection of results in model theory, related in one way or another to field...
We consider definably complete Baire expansions of ordered fields: every definable subset of the dom...
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions ...
We produce an example of a Cantor set K such that for any definable map (in an o-minimal structure e...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
We first show that the projection image of a discrete definable set is again discrete for an arbitra...
The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den ...
We give an example of two ordered structures M, N in the same language L with the same universe, the...
AbstractGood ultrafilters produce topological ultraproducts which enjoy a strong Baire category prop...
This paper is a brief survey on an almost o-minimal structure, which was proposed by the author. A l...
AbstractA “bad Borel subfield” of a space X is an infinite countably σ-generated σ-subfield of Borel...
We show that if $X$ is virtually any classical fractal subset of $\mathbb{R}^n$, then $(\mathbb{R},<...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
The concept of definability of physical fields in a set-theoretical foundation is introduced. A set ...
In this paper we study properties of Σ–definability over the reals without the equality test which i...
This dissertation is a collection of results in model theory, related in one way or another to field...
We consider definably complete Baire expansions of ordered fields: every definable subset of the dom...
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions ...