Using the methods of Brown and Walsh, we get condition guaranteeing that, for an ideal I of sets in a perfect Polish space some (s0) sets are not in I. A few examples and corollaries are given.

We say that X×Y satisfies the Uniquely Universal property (UU) iff there exists an open set U ⊆ X × Y such that for every open set W ⊆ Y there is a unique cross section of U with Ux = W . Michael Hrus̆ák raised the question of when does X × Y satisfy UU and noted that if Y is compact, then X must have an isolated point. We consider the problem when the parameter space X is either the Cantor spac...

The tightening of the European Union climate and energy policy, directed to raising the resilience and effectiveness of the European Union Emissions Trading System, may influence on companies' economic performance. Polish energy companies, which mainly use coal in the energy production process, are particularly worried about the potential negative consequences associated with the implementation...

In this paper a preliminary study of perceptual judgements of Polish dialogue utterances using a two-dimensional (activation-valence), continuous feature space is described. The speech material consists of utterances selected from a corpus of task oriented dialogues, realized before and after a (fake) negative evaluation of the speakers' performance. The group of the test participants includes:...

The paper studies the structure of the homogeneous space G/H, for G a Polish group and H < G a Borel, not necessarily closed subgroup of G, from the point of view of the theory of definable equivalence relations. It makes a connection between the complexity of the natural coset equivalence relation associated with G/H and polishability of H, that is, the possibility of introducing a Polish grou...

This paper offers a comparison of two resources for Polish adult learners of English. The first has been designed for Polish-English Literacy Tutor (PELT), a multimodal system for foreign language learning, as training input to speech recognition system for highly accented, strongly variable second language speech. The second corpus is a task-specific resource designed in the PELT framework to ...

A marked metric measure space (mmm-space) is a triple (X , r,μ), where (X , r) is a complete and separable metric space and μ is a probability measure on X × I for some Polish space I of possible marks. We study the space of all (equivalence classes of) marked metric measure spaces for some fixed I . It arises as a state space in the construction of Markov processes which take values in random ...

Given a Polish group G of isometries of a locally compact separable metric space, we prove that each measure preserving Boolean action by G has a spatial model or, in other words, has a point realization. This result extends both a classical theorem of Mackey and a recent theorem of Glasner and Weiss, and it covers interesting new examples. In order to prove our result, we give a characterizati...

In the post-war era, Poland has been viewed as a homogeneous country both culturally and linguistically. It not, however, remained immune to developments of globalization, which also reflected in linguistic present century. recent years, Polish public space inundated with numerous foreign language names, signs, slogans, elements advertisements on billboards, English largely foreground, not infr...

The transitive closure of a reflexive, symmetric, analytic relation is an analytic equivalence relation. Does some smaller class contain the transitive closure of every reflexive, symmetric, closed relation? An essentially negative answer is provided here. Every analytic equivalence relation on an arbitrary Polish space is Borel embeddable in the transitive closure of the union of two smooth Bo...