Kechris and Louveau showed that each real-valued bounded Baire class 1 function defined
on a compact metric space can be written as an alternating sum of a decreasing countable …

We study the quasi-order of topological embeddability on definable functions between
Polish 0-dimensional spaces. We consider the descriptive complexity of this quasi-order …

Lexicographic products as compact spaces of the first Baire class - ScienceDirect Skip to main
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The aim of this dissertation is to describe certain connections between two seemingly far
away fields of mathematics, namely set theory and analysis. This connection is classical in …

Descriptive set theory deals with the definable subsets of a Polish space, a separable,
completely metrizable topological space. It has a large variety of applications in ergodic …

Descriptive set theory is a branch of mathematics studying the structure of subsets of the real
line, or in general, Polish spaces (separable, completely metrisable topological spaces). It …