Results 1 to 10 of about 7,125 (266)
Annals of Pure and Applied Logic, 2013 We investigate some basic descriptive set theory for countably based completely quasi-metrizable topological spaces, which we refer to as quasi-Polish spaces. These spaces naturally generalize much of the classical descriptive set theory of Polish spaces to the non-Hausdorff setting.
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Degrees of Non-computability of Homeomorphism Types of Polish Spaces [PDF]
Lecture Notes in Computer Science, 2020 Mathieu Hoyrup +2 more
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PLoS ONE, 2023 This study presents a Polish semantic priming dataset and semantic similarity ratings for word pairs obtained with native Polish speakers, as well as a range of semantic spaces.
Karolina Rataj +3 more
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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Annales Mathematicae Silesianae, 2022 This paper presents a constructive proof of the existence of a regular non-atomic strictly-positive measure on any second-countable non-atomic locally compact Hausdorff space.
Bentley Jason
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On the commutativity of the powerspace constructions [PDF]
Logical Methods in Computer Science, 2019 We investigate powerspace constructions on topological spaces, with a particular focus on the category of quasi-Polish spaces. We show that the upper and lower powerspaces commute on all quasi-Polish spaces, and show more generally that this ...
Matthew de Brecht, Tatsuji Kawai
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Polish spaces of Banach spaces
Forum of Mathematics, Sigma, 2022 AbstractWe present and thoroughly study natural Polish spaces of separable Banach spaces. These spaces are defined as spaces of norms, respectively pseudonorms, on the countable infinite-dimensional rational vector space. We provide an exhaustive comparison of these spaces with admissible topologies recently introduced by Godefroy and Saint-Raymond and
Marek Cúth +3 more
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A generalization of a theorem of Hurewicz for quasi-Polish spaces [PDF]
Logical Methods in Computer Science, 2018 We identify four countable topological spaces $S_2$, $S_1$, $S_D$, and $S_0$ which serve as canonical examples of topological spaces which fail to be quasi-Polish. These four spaces respectively correspond to the $T_2$, $T_1$, $T_D$, and $T_0$-separation
Matthew de Brecht
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GREY SUBSETS OF POLISH SPACES [PDF]
The Journal of Symbolic Logic, 2015 AbstractWe develop the basics of an analogue of descriptive set theory for functions on a Polish space X. We use this to define a version of the small index property in the context of Polish topometric groups, and show that Polish topometric groups with ample generics have this property.
Itaï Ben Yaacov, Julien Melleray
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Energies, 2023 Cities have always been places that generate problems, but also places where solutions are born. In recent years, cities have become a testing ground for finding and testing solutions to overcome the climate crisis.
Alina Pancewicz +4 more
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