Some examples of Borel sets
Ryszard Engelking, Włodzimierz Holsztyński, Roman Sikorski (1966)
Colloquium Mathematicum
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Displaying similar documents to “On topologies generating the Effros Borel structure and on the Effros measurability of the boundary operation”
Some examples of Borel sets
Introducing a topology by an operation of a set-theoretic boundary
Chądzyńska, Alina, Pustelnik, Mirosław (2015-12-08T12:55:09Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Turning Borel sets into clopen sets effectively
Vassilios Gregoriades (2012)
Fundamenta Mathematicae
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We present the effective version of the theorem about turning Borel sets in Polish spaces into clopen sets while preserving the Borel structure of the underlying space. We show that under some conditions the emerging parameters can be chosen in a hyperarithmetical way and using this we obtain some uniformity results.
Domination by Borel stopping times and some separation properties
Ashok Maitra, Victor Pestien, S. Ramakrishnan (1990)
Fundamenta Mathematicae
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Non-separable Borel sets
A. H. Stone
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CONTENTS1. Introduction.................................................................................. 32. Baire spaces................................................................................ 53. The basic theorem..................................................................... 94. Cardinality properties; invariance of weight........................... 165. Classification of absolute Borel sets..................................... 226. Characterizations..........................................................................
A classification of ordinals up to Borel isomorphism
Su Gao, Steve Jackson, Vincent Kieftenbeld (2008)
Fundamenta Mathematicae
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We consider the Borel structures on ordinals generated by their order topologies and provide a complete classification of all ordinals up to Borel isomorphism in ZFC. We also consider the same classification problem in the context of AD and give a partial answer for ordinals ≤ω₂.
On a topology of convergence
P. Antosik (1970)
Colloquium Mathematicae
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On Borel measurability of orbits
Czesław Ryll-Nardzewski (1964)
Fundamenta Mathematicae
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On the Ray topology
Frank B. Knight (1984)
Séminaire de probabilités de Strasbourg
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Three variants of a Kuratowski's theorem
M. M. Drešević (1980)
Matematički Vesnik
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Topologies on measure spaces and the Radon-Nikodym theorem
Russell Lyons (1988)
Studia Mathematica
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Kadec norms and Borel sets in a Banach space
M. Raja (1999)
Studia Mathematica
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We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.
On stems
R. Duda (1966)
Colloquium Mathematicae
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