Author: Olivier Olela Otafudu
Publisher: LAP Lambert Academic Publishing
ISBN: 9783843385626
Category :
Languages : en
Pages : 92
Book Description
We continue our investigations of the scale of a quasi-uniform space, which we had started in an earlier article. We distinguish between the left-sided scale and the two-sided scale of a quasi-uniform space. While the behavior of the two-sided scale of a quasi-uniform space X shows similarities with the usual hyperspace of X equipped with its Hausdorff quasi-uniformity, the left-handed scale generalizes the quasi-uniform multifunction space of X into itself.For instance the two-sided scale of any totally bounded quasi-uniform space X is totally bounded, while total boundedness of the left-sided scale of a quasi-uniform space X implies that X is finite or indiscrete. Either construction of the scale is based on the idea of the prefilter space of a quasi-uniform space. Prefilter spaces of quasi-uniform spaces are shown to be bicomplete. It follows that both the left-sided and the two-sided scale of a quasi-uniform space are bicomplete. Indeed these scales can be used to construct the bicompletion of the T0-reflection of the Hausdorff quasi-uniformity of a quasi-uniform space.
The Scale of a Quasi-Uniform Space
Author: Olivier Olela Otafudu
Publisher: LAP Lambert Academic Publishing
ISBN: 9783843385626
Category :
Languages : en
Pages : 92
Book Description
We continue our investigations of the scale of a quasi-uniform space, which we had started in an earlier article. We distinguish between the left-sided scale and the two-sided scale of a quasi-uniform space. While the behavior of the two-sided scale of a quasi-uniform space X shows similarities with the usual hyperspace of X equipped with its Hausdorff quasi-uniformity, the left-handed scale generalizes the quasi-uniform multifunction space of X into itself.For instance the two-sided scale of any totally bounded quasi-uniform space X is totally bounded, while total boundedness of the left-sided scale of a quasi-uniform space X implies that X is finite or indiscrete. Either construction of the scale is based on the idea of the prefilter space of a quasi-uniform space. Prefilter spaces of quasi-uniform spaces are shown to be bicomplete. It follows that both the left-sided and the two-sided scale of a quasi-uniform space are bicomplete. Indeed these scales can be used to construct the bicompletion of the T0-reflection of the Hausdorff quasi-uniformity of a quasi-uniform space.
Publisher: LAP Lambert Academic Publishing
ISBN: 9783843385626
Category :
Languages : en
Pages : 92
Book Description
We continue our investigations of the scale of a quasi-uniform space, which we had started in an earlier article. We distinguish between the left-sided scale and the two-sided scale of a quasi-uniform space. While the behavior of the two-sided scale of a quasi-uniform space X shows similarities with the usual hyperspace of X equipped with its Hausdorff quasi-uniformity, the left-handed scale generalizes the quasi-uniform multifunction space of X into itself.For instance the two-sided scale of any totally bounded quasi-uniform space X is totally bounded, while total boundedness of the left-sided scale of a quasi-uniform space X implies that X is finite or indiscrete. Either construction of the scale is based on the idea of the prefilter space of a quasi-uniform space. Prefilter spaces of quasi-uniform spaces are shown to be bicomplete. It follows that both the left-sided and the two-sided scale of a quasi-uniform space are bicomplete. Indeed these scales can be used to construct the bicompletion of the T0-reflection of the Hausdorff quasi-uniformity of a quasi-uniform space.
Quasi-uniform Spaces
Author: p;lindgren fletcher (wf)
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Some Results on Quasi-uniform Spaces
Author: Karen Sylvia Carter
Publisher:
ISBN:
Category :
Languages : en
Pages : 37
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 37
Book Description
The Smyth completion of a quasi uniform space
Author: Philipp Sünderhauf
Publisher:
ISBN:
Category :
Languages : de
Pages : 22
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 22
Book Description
Large-Scale Scientific Computing
Author: Ivan Lirkov
Publisher: Springer Science & Business Media
ISBN: 3540319948
Category : Computers
Languages : en
Pages : 701
Book Description
This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.
Publisher: Springer Science & Business Media
ISBN: 3540319948
Category : Computers
Languages : en
Pages : 701
Book Description
This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.
Transitive Quasi-uniform Spaces
Author: Michael Norman Halpin
Publisher:
ISBN:
Category : Mathematics and Applied Mathematics
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Mathematics and Applied Mathematics
Languages : en
Pages :
Book Description
Local Properties of Transitive Quasi-uniform Spaces
Author: Massood Seyedin
Publisher:
ISBN:
Category : Quasi-uniform spaces
Languages : en
Pages : 128
Book Description
Publisher:
ISBN:
Category : Quasi-uniform spaces
Languages : en
Pages : 128
Book Description
Categorical Aspects of the Theory of Quasi-uniform Spaces
Author: G. C. L. Brümmer
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
Book Description
Dense Subspaces of Quasi-uniform Spaces
Author: Adrian Lüthy
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
Book Description
Properties of Quasi Uniform Spaces and Bitopological Spaces
Author: Ronald Albert Stoltenberg
Publisher:
ISBN:
Category : Quasi-uniform spaces
Languages : en
Pages : 90
Book Description
Publisher:
ISBN:
Category : Quasi-uniform spaces
Languages : en
Pages : 90
Book Description