Results 261 to 270 of about 607,497 (301)

Well-quasi-ordering and the Hausdorff quasi-uniformity

Topology and Its Applications, 1998
Let (X,U) be a quasi-uniform space and U∗ its Hausdorff quasi-uniformity defined on the collection P0(X) of all nonempty subsets of X. We show that (P0(X), U∗) is compact if and only if (X,U) is compact and (Xm,U−1 ¦ Xm) is hereditarily precompact where ...
Hans-Peter A Kunzi, Salvador Romaguera
exaly   +2 more sources

The relationship between the Vietoris topology and the Hausdorff quasi-uniformity

Topology and Its Applications, 2002
We investigate the problem of characterizing those quasi-uniform spaces for which the Vietoris topology is compatible with the Hausdorff quasi-uniformity.
Jesus Rodríguez-López, Salvador Romaguera   +1 more
exaly   +2 more sources

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Equicontinuity and Quasi-Uniformities

gmj, 2004
Abstract For topological spaces 𝑋, 𝑌 with a fixed compatible quasi-uniformity 𝑄 in 𝑌 and for a family (𝑓𝑖)𝑖∈𝐼 of mappings from 𝑋 to 𝑌, the notions of even continuity in the sense of Kelley, topological equicontinuity in the sense of Royden and 𝑄-equicontinuity (i.e., equicontinuity with respect to the topology of 𝑋 and 𝑄) are compared ...
Corbacho, E., Tarieladze, V., Vidal, R.
openaire   +2 more sources

Linear pointwise L-quasi uniformities

Fuzzy Sets and Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Shen, Cong-hua Yan
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Completion of Quasi-Uniform Frames

Applied Categorical Structures, 1999
In the study of quasi-uniform frames there has been a division between those favoring covering quasi-uniformities and those preferring entourage quasi-uniformities. It seems to be emerging from the paper under review and [The Samuel compactification of a quasi-uniform frame, Topology Proc. 23 (to appear)] that both points of view are valuable.
J. Frith, Worthen Hunsaker
openaire   +2 more sources

The semicontinuous quasi-uniformity of a frame, revisited

Quaestiones Mathematicae, 2011
In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J.
Picado, Jorge, Ferreira, Maria Joao
exaly   +1 more source

Quasi-Uniform Codes and Their Applications

IEEE Transactions on Information Theory, 2013
Quasi-uniform random vectors have probability distributions that are uniform over their projections. They are of fundamental interest because a linear information inequality is valid if and only if it is satisfied by all quasi-uniform random vectors. In this paper, we investigate properties of codes induced by quasi-uniform random vectors.
Terence H. Chan, Alex J. Grant, Thomas Britz   +2 more
openaire   +1 more source

Boundedness in a Quasi-Uniform Space

Canadian Mathematical Bulletin, 1970
Although a nontopological concept, boundedness seems to be of considerable importance in a topological space. 'There are many topological problems in which it is essential to be able to make this distinction' (between bounded and unbounded sets) [1].
Murdeshwar, M. G., Theckedath, K. K.
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Properties of quasi-uniform codes

2010 IEEE International Symposium on Information Theory, 2010
Quasi-uniform random variables have probability distributions that are uniform over their supports. They are of fundamental interest because a linear information inequality is valid if and only if it is satisfied by all quasi-uniform random variables. In this paper, we investigate properties of codes induced by quasi-uniform random variables.We prove ...
Terence H. Chan, Alex J. Grant, Thomas Britz   +2 more
openaire   +1 more source

Complete Quasi-Uniform Spaces

Canadian Mathematical Bulletin, 1980
AbstractAn example is given of a topological space that does not admit a strongly complete quasi-uniform structure.
Huffman, Shirley M., Hicks, Troy L., Carlson, John W.   +2 more
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