The approximation and extension of uniformly continuous Banach space valued mappings
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Displaying 1 – 20 of 21
The Baire Set Fixing Property and Uniform Continuity in Topological Groups.
Jason Gait (1977)
Mathematische Annalen
The category of uniform frames
J. L. Frith (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
The category of uniform spaces as a completion of the category of metric spaces
Jiří Adámek, Jan Reiterman (1992)
Commentationes Mathematicae Universitatis Carolinae
A criterion for the existence of an initial completion of a concrete category universal w.r.tḟinite products and subobjects is presented. For metric spaces and uniformly continuous maps this completion is the category of uniform spaces.
The commuting of coreflectors in uniform spaces with completion
Anthony W. Hager, Michael David Rice (1976)
Czechoslovak Mathematical Journal
The completion monad and its algebra
Sergio Salbany (1982)
Commentationes Mathematicae Universitatis Carolinae
The complexity of -discretely decomposable families in uniform spaces
Jan Pelant, Pavel Pták (1981)
Commentationes Mathematicae Universitatis Carolinae
The convergence space of minimal usco mappings
R. Anguelov, O. F. K. Kalenda (2009)
Czechoslovak Mathematical Journal
A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all...
The coregular property on -spaces
Athanasios Andrikopoulos, John Stabakis (1999)
Czechoslovak Mathematical Journal
The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces
Michael G. Charalambous (2004)
Fundamenta Mathematicae
We prove that every Baire subspace Y of c₀(Γ) has a dense metrizable subspace X with dim X ≤ dim Y. We also prove that the Kimura-Morishita Eberlein compactifications of metrizable spaces preserve large inductive dimension. The proofs rely on new and old results concerning the dimension of uniform spaces.
The Doitchinov Completion of a Regular Paratopological Group
Künzi, Hans-Peter, Romaguera, Salvador, Sipacheva, Ol’ga (1998)
Serdica Mathematical Journal
In memory of Professor D. Doitchinov ∗ This paper was written while the first author was supported by the Swiss National Science Foundation under grants 21–30585.91 and 2000-041745.94/1 and by the Spanish Ministry of Education and Sciences under DGES grant SAB94-0120. The second author was supported under DGES grant PB95-0737. During her stay at the University of Berne the third author was supported by the first author’s grant 2000-041745.94/1 from the Swiss National Science Foundation.We show...
The Dugundji extension property can fail in ωµ -metrizable spaces
Ian Stares, Jerry Vaughan (1996)
Fundamenta Mathematicae
We show that there exist -metrizable spaces which do not have the Dugundji extension property ( with the countable box topology is such a space). This answers a question posed by the second author in 1972, and shows that certain results of van Douwen and Borges are false.
The regularity series of a Cauchy space.
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
The shape theory for uniform spaces and the shape uniform invariants
V. Agaronjan, Jurij Michailov Smirnov (1978)
Commentationes Mathematicae Universitatis Carolinae
Three technical tools in uniform spaces
Frolík, Zdeněk (1975)
Seminar Uniform Spaces
Topological contraction principle
Pedro Morales (1980)
Fundamenta Mathematicae
Topological convergence and uniform convergence
Somashekhar Naimpally (1987)
Czechoslovak Mathematical Journal
Totally bounded frame quasi-uniformities
Peter Fletcher, Worthen N. Hunsaker, William F. Lindgren (1993)
Commentationes Mathematicae Universitatis Carolinae
This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity on a frame there is a totally bounded quasi-uniformity on that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines . The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum and the compactification of a uniform frame are meaningful for quasi-uniform frames. If is a totally bounded quasi-uniformity...
Transitivity in uniform approach theory.
Lee, Y.J., Windels, B. (2002)
International Journal of Mathematics and Mathematical Sciences
Two examples of reflections
Pelant, Jan, Vilímovský, Jiří (1976)
Seminar Uniform Spaces
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