Results 181 to 190 of about 6,862 (217)

Cohort profile: The Czech Health, Alcohol and Psychosocial factors In Eastern Europe study (HAPIEE-CZ)

Dalecká A, Peasey A, Pan Y, Čapková N, Šebejová L, Piler P, Kozela M, Pajak A, Tamosiunas A, Andrýsková L, Klánová J, Marmot M, Pikhart H, Bobak M.   +13 more
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COMPUTABILITY OF POLISH SPACES UP TO HOMEOMORPHISM

The Journal of Symbolic Logic, 2020
AbstractWe study computable Polish spaces and Polish groups up to homeomorphism. We prove a natural effective analogy of Stone duality, and we also develop an effective definability technique which works up to homeomorphism. As an application, we show that there is a $\Delta ^0_2$ Polish space not homeomorphic to a computable one.
Matthew Harrison-Trainor, Alexander G. Melnikov, Keng Meng Ng   +2 more
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The Space of Simple Configurations is Polish

Mathematical Notes, 2002
For a noncompact, locally compact, connected, complete metric space \(M\), let \(\widehat\Gamma\) denote the configuration space with multiple points on \(M\) and let \(\Gamma\) denote the subset of simple configurations. Then the weak topology on \(\widehat\Gamma\) and the subspace topology on \(\Gamma\) are both separable and are both generated by ...
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Computability Theory on Polish Metric Spaces

The Bulletin of Symbolic Logic, 2023
AbstractComputability theoretic aspects of Polish metric spaces are studied by adapting notions and methods of computable structure theory. In this dissertation, we mainly investigate index sets and classification problems for computably presentable Polish metric spaces.
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Perfect Polish Spaces

1995
A limit point of a topological space is a point that is not isolated, i.e., for every open nbhd U of x there is a point y ∈ U, y≠ x. A space is perfect if all its points are limit points. If P is a subset of a topological space X, we call P perfect in X if P is closed and perfect in its relative topology.
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Stopping problems on Polish spaces

1997
The general theory of optimal stopping for a continuous-time Markov process is treated when the Markov process takes values in a Polish space. This extends results which are known for a locally compact state space. An application to a problem of mathematical finance is given.
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Enumerating Classes of Effective Quasi-Polish Spaces

Lecture Notes in Computer Science, 2022
Matthew De Brecht, VÍCTOR Selivanov, De Brecht Matthew   +2 more
exaly  

The Polish topology of Erdős space

Topology Proceedings, 2020
Summary: We show that Erdős space \(E\) is Polishable and prove that \(E\) with its Polish topology is homeomorphic to complete Erdős space.
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Polish ultrametric Urysohn spaces and their isometry groups

Topology and Its Applications, 2011
Su Gao
exaly