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Displaying 481 – 500 of 868

Completeness properties of function rings in pointfree topology

Bernhard Banaschewski, Sung Sa Hong (2003)

Commentationes Mathematicae Universitatis Carolinae

This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or $σ$ -complete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions.

Completion and closure

David Holgate (2000)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Completion as reflection

H. L. Bentley, Horst Herrlich (1978)

Commentationes Mathematicae Universitatis Carolinae

Complétion d'un espace de recouvrement régulier

Bernard Brunet (1986)

Annales scientifiques de l'Université de Clermont. Mathématiques

Complétion et compactification d'espaces syntopogènes

Császár, Á. (1962)

General Topology and its Relations to Modern Analysis and Algebra

Completion functors for Cauchy spaces.

Fric, R., Kent, Darrell C. (1979)

International Journal of Mathematics and Mathematical Sciences

Completion of a Cauchy space without the $T_{2}$ -restriction on the space.

Rath, Nandita (2000)

International Journal of Mathematics and Mathematical Sciences

Completion of a class of topological semilattices, applications. (Complétion d'une classe de demi-treillis topologiques, applications.)

Grenier, Jean-Pierre (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Completion of certain $Λ$ -structures

Kamil John, Miloš Dostál (1966)

Commentationes Mathematicae Universitatis Carolinae

Completion of probabilistic normed spaces.

Lafuerza Guillén, Bernardo, Rodríguez Lallena, José Antonio, Sempi, Carlo (1995)

International Journal of Mathematics and Mathematical Sciences

Completion of Quasi-Uniform Spaces.

E. POPA (1970)

Mathematische Annalen

Completion of sequential Cauchy spaces

Robert Frič, Darrell C. Kent (1977)

Commentationes Mathematicae Universitatis Carolinae

Completion theorem for uniform entropy

Takashi Kimura (1998)

Commentationes Mathematicae Universitatis Carolinae

Modifying Bowen's entropy, we introduce a new uniform entropy. We prove that the completion theorem for uniform entropy holds in the class of all metric spaces. However, the completion theorem for Bowen's entropy does not hold in the class of all totally bounded metric spaces.

Completions in biaffine sets.

Felaco, Elisabetta, Giuli, Eraldo (2008)

Theory and Applications of Categories [electronic only]

Completions of non- $T_{2}$ filter spaces.

Rath, Nandita (2005)

International Journal of Mathematics and Mathematical Sciences

Completions of Uniform Convergence Spaces.

Ellen E. REED (1971)

Mathematische Annalen

Completions of uniform spaces

Aquaro, G. (1962)

General Topology and its Relations to Modern Analysis and Algebra

Complex Banach spaces with Valdivia dual unit ball.

Ondrej F. K. Kalenda (2005)

Extracta Mathematicae

We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.

Complexité des boréliens à coupes dénombrables

Dominique Lecomte (2000)

Fundamenta Mathematicae

Nous donnons, pour chaque niveau de complexité Γ, une caractérisation du type "test d'Hurewicz" des boréliens d'un produit de deux espaces polonais ayant toutes leurs coupes dénombrables ne pouvant pas être rendus Γ par changement des deux topologies polonaises.

Complexity of curves

Udayan B. Darji, Alberto Marcone (2004)

Fundamenta Mathematicae

We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.

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