On supercomplete uniform spaces V: Tamano's product problem
Displaying 121 – 140 of 189
On symmetric products
Juliusz Olędzki (1988)
Fundamenta Mathematicae
On Telgársky's question concerning β-favorability of the strong Choquet game
László Zsilinszky (2013)
Colloquium Mathematicae
Answering a question of Telgársky in the negative, it is shown that there is a space which is β-favorable in the strong Choquet game, but all of its nonempty -subspaces are of the second category in themselves.
On the 2-homogeneity of Cartesian products
Krystyna Kuperberg, W. Kuperberg, W. Transue (1980)
Fundamenta Mathematicae
On the cardinality of power homogeneous Hausdorff spaces
G. J. Ridderbos (2006)
Fundamenta Mathematicae
We prove that the cardinality of power homogeneous Hausdorff spaces X is bounded by . This inequality improves many known results and it also solves a question by J. van Mill. We further introduce Δ-power homogeneity, which leads to a new proof of van Douwen’s theorem.
On the category of topological topologies
Maria Cristina Pedicchio (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
On the class of all spaces of weight not greater than ω_1 whose Cartesian product with every Lindelöf space is Lindelöf
K. Alster (1988)
Fundamenta Mathematicae
On the co-completeness of the category of Hausdorff uniform spaces.
Bautista, Serafín, Varela, Januario (1997)
Revista Colombiana de Matemáticas
On the Compactness and Countable Compactness of in ZF
Kyriakos Keremedis, Evangelos Felouzis, Eleftherios Tachtsis (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
In the framework of ZF (Zermelo-Fraenkel set theory without the Axiom of Choice) we provide topological and Boolean-algebraic characterizations of the statements " is countably compact" and " is compact"
On the construction of the extensional topological hull
I. W. Alderton, F. Schwartz, S. Weck-Schwarz (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
On the deficiency of product spaces
Calvin F. K. Jung (1973)
Colloquium Mathematicae
On the density of the hyperspace of a metric space
Alberto Barbati, Camillo Costantini (1997)
Commentationes Mathematicae Universitatis Carolinae
We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or the locally finite topology. To this end, we introduce suitable generalizations of the notions of totally bounded and compact metric space.
On the division by Rn.
Jacek Tabor (1995)
Aequationes mathematicae
On the embedding theorem
Le Van Hot (1980)
Commentationes Mathematicae Universitatis Carolinae
On the exact completion of the homotopy category
M. Gran, E. M. Vitale (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
On the existence of maps having graphs connected and dense
W. Kulpa (1972)
Fundamenta Mathematicae
On the External Characterization of Topological Functors.
Harvey Wolff (1977)
Manuscripta mathematica
On the foundations of Topology
Lintz, R.G. (1981)
Portugaliae mathematica
On the functor of order-preserving functionals
Taras Radul (1998)
Commentationes Mathematicae Universitatis Carolinae
We introduce a functor of order-preserving functionals which contains some known functors as subfunctors. It is shown that this functor is weakly normal and generates a monad.
On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2
Stanisław Spież (1983)
Fundamenta Mathematicae