A solution to the problem of B. V. Rao on Borel structures
Jakub Jasiński (1987)
Colloquium Mathematicae
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Displaying similar documents to “Complex borel structure in JC-algebras.”
A solution to the problem of B. V. Rao on Borel structures
Second-Dual Liminal C*-Algebras.
Helge Elbrond Jensen (1982)
Mathematische Zeitschrift
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On the Structure of Reduced ...-Ternary Algebras of Degree > 2.
Wolfgang Hein (1981)
Mathematische Zeitschrift
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Existence of Borel lifting
K. Musiał (1973)
Colloquium Mathematicae
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The Theory and Structure of Dual JB-Algebras.
Leslie J. Bunce (1982)
Mathematische Zeitschrift
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Borel structures for function spaces
B. V. Rao (1971)
Colloquium Mathematicae
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On Borel structures
B. V. Rao (1970)
Colloquium Mathematicae
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Recent developments in the theory of Borel reducibility
Greg Hjorth, Alexander S. Kechris (2001)
Fundamenta Mathematicae
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Let E₀ be the Vitali equivalence relation and E₃ the product of countably many copies of E₀. Two new dichotomy theorems for Borel equivalence relations are proved. First, for any Borel equivalence relation E that is (Borel) reducible to E₃, either E is reducible to E₀ or else E₃ is reducible to E. Second, if E is a Borel equivalence relation induced by a Borel action of a closed subgroup of the infinite symmetric group that admits an invariant metric, then either E is reducible...
On the Isomorphism of Group Algebras.
Sudarshan K. Sehgal (1967)
Mathematische Zeitschrift
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On the Characterization of Primitive Ideals in Enveloping Algebras.
Ronald S. Irving, Lance W. Small (1980)
Mathematische Zeitschrift
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Exact Borel subalgebras of quasi-heriditary algebras, I (with an appendix by Leonard Scott).
Steffen König (1995)
Mathematische Zeitschrift
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Normal numbers and the Borel hierarchy
Verónica Becher, Pablo Ariel Heiber, Theodore A. Slaman (2014)
Fundamenta Mathematicae
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We show that the set of absolutely normal numbers is Π⁰₃-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is Π⁰₃-complete in the effective Borel hierarchy.
Borel-Wadge degrees
Alessandro Andretta, Donald A. Martin (2003)
Fundamenta Mathematicae
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Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel-Wadge degree is a collection of pairwise Borel equivalent subsets of ℝ. In this note we investigate the structure of Borel-Wadge degrees under the assumption of the Axiom of Determinacy.
Coordinatewise decomposition of group-valued Borel functions
Benjamin D. Miller (2007)
Fundamenta Mathematicae
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Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.