A class of -preduals which are isomorphic to quotients of
For every countable ordinal α, we construct an -predual which is isometric to a subspace of and isomorphic to a quotient of . However, is not isomorphic to a subspace of .
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Displaying 1 – 20 of 101
A class of sets whose distance set fills an interval
Ken W. Lee (1979)
Czechoslovak Mathematical Journal
A classification of ordinals up to Borel isomorphism
Su Gao, Steve Jackson, Vincent Kieftenbeld (2008)
Fundamenta Mathematicae
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.
A continuum of totally incomparable hereditarily indecomposable Banach spaces
I. Gasparis (2002)
Studia Mathematica
A family is constructed of cardinality equal to the continuum, whose members are totally incomparable hereditarily indecomposable Banach spaces.
A generalized version of the singular cardinals problem
Arthur Apter (1984)
Fundamenta Mathematicae
A Note On Ultrapower Cardinality
Aleksandar Jovanović (1978)
Publications de l'Institut Mathématique
A note on ultrapower cardinality.
A. Jovanovic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
A problem on series of ordinals
J. Hickman (1973)
Fundamenta Mathematicae
A Remark On Filter Regularity
Aleksandar Jovanović (1977)
Publications de l'Institut Mathématique
A remark on filter regularity.
A. Jovanovic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
A well ordering of the Cartesian product of two ordinals
Alexander Abian (1980)
Archivum Mathematicum
Accumulation functions on the ordinals
Artur Rubin, Jean Rubin (1971)
Fundamenta Mathematicae
Algebraic equivalence of ordinal numbers
P. Knight (1972)
Fundamenta Mathematicae
Algorithmic representations of Wermus' constructions of ordinal numbers
Hartwig Fuchs (1971)
Revista colombiana de matematicas
An ordering of the set of natural numbers based on Peano axioms
Vladimir Devidé (1967)
Archivum Mathematicum
Arithmetic of cuts and cuts of classes
Martin Kalina, Pavol Zlatoš (1988)
Commentationes Mathematicae Universitatis Carolinae
Borel extensions of Baire measures in ZFC
Menachem Kojman, Henryk Michalewski (2011)
Fundamenta Mathematicae
We prove: 1) Every Baire measure on the Kojman-Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Consequently, Balogh's space remains the only candidate to be a ZFC counterexample to the measure extension problem of the three presently known ZFC Dowker spaces.
Built-up systems of fundamental sequences and hierarchies of number-theoretic functions.
Diana Schmidt (1977)
Archiv für mathematische Logik und Grundlagenforschung
Cardinal and ordinal arithmetics of -ary relational systems and -ary ordered sets
Jiří Karásek (1998)
Mathematica Bohemica
The aim of this paper is to define and study cardinal (direct) and ordinal operations of addition, multiplication, and exponentiation for -ary relational systems. -ary ordered sets are defined as special -ary relational systems by means of properties that seem to suitably generalize reflexivity, antisymmetry, and transitivity from the case of or 3. The class of -ary ordered sets is then closed under the cardinal and ordinal operations.
Cardinal arithmetic of general relational systems
Josef Šlapal (1993)
Czechoslovak Mathematical Journal
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