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We give a classical proof of the theorem stating that the $σ$ -ideal of meager sets is the unique $σ$ -ideal on a Polish group, generated by closed sets which is invariant under translations and ergodic.

A Characterization of the Veblen-Schütte Functions by Means of Functionals

Hilbert Levitz (1973)

Commentarii mathematici Helvetici

A characterization of tribes with respect to the Łukasiewicz $t$ -norm

Erich Peter Klement, Mirko Navara (1997)

Czechoslovak Mathematical Journal

We give a complete characterization of tribes with respect to the Łukasiewicz $t$ -norm, i. e., of systems of fuzzy sets which are closed with respect to the complement of fuzzy sets and with respect to countably many applications of the Łukasiewicz $t$ -norm. We also characterize all operations with respect to which all such tribes are closed. This generalizes the characterizations obtained so far for other fundamental $t$ -norms, e. g., for the product $t$ -norm.

A characterization of uninorms on bounded lattices via closure and interior operators

Gül Deniz Çayli (2023)

Kybernetika

Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms.

A characterization of well-orders

Brian Scott (1981)

Fundamenta Mathematicae

A class of $l^{1}$ -preduals which are isomorphic to quotients of $C (ω^{ω})$

Ioannis Gasparis (1999)

Studia Mathematica

For every countable ordinal α, we construct an $l_{1}$ -predual $X_{α}$ which is isometric to a subspace of $C (ω^{ω^{ω^{α} + 2}})$ and isomorphic to a quotient of $C (ω^{ω})$ . However, $X_{α}$ is not isomorphic to a subspace of $C (ω^{ω^{α}})$ .

A class of sets whose distance set fills an interval

Ken W. Lee (1979)

Czechoslovak Mathematical Journal

A classification of an iterative hierarchy.

Hans Kleine Büning (1983)

Archiv für mathematische Logik und Grundlagenforschung

A classification of definable forcings on ω1

Jindřich Zapletal (1997)

Fundamenta Mathematicae

Under the assumption of the existence of sharps for reals all simply definable posets on $ω_{1}$ are classified up to forcing equivalence.

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.

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A characterization of internal sets

A characterization of lifting generics for Sacks-like forcings

A characterization of polarities whose lattice of polars is Boolean

A characterization of quantic quantifiers in orthomodular lattices.

A characterization of quasivarieties of partial algebras by means of limits and products.

A characterization of r-maximal sets.

A characterization of Takeuti's ordinal diagrams of finite order.

A characterization of the meager ideal

A Characterization of the Veblen-Schütte Functions by Means of Functionals

A characterization of tribes with respect to the Łukasiewicz $t$ -norm

A characterization of uninorms on bounded lattices via closure and interior operators

A characterization of well-orders

A class of $l^{1}$ -preduals which are isomorphic to quotients of $C (ω^{ω})$

A class of sets whose distance set fills an interval

A classification of an iterative hierarchy.

A classification of definable forcings on ω1

A classification of ordinals up to Borel isomorphism

A classification of separable Rosenthal compacta and its applications [Book]

A classification of the one-argument primitive recursive functions.

A classification of the ordinal recursive functions.

Currently displaying 21 – 40 of 728