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Quasi-uniform spaces

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Published by M. Dekker in New York .
Written in English

Subjects:

  • Quasi-uniform spaces.

Book details:

Edition Notes

StatementPeter Fletcher, William F. Lindgren.
SeriesLecture notes in pure and applied mathematics ;, v. 77
ContributionsLindgren, William F.
Classifications
LC ClassificationsQA611.25 .F53 1982
The Physical Object
Paginationviii, 216 p. ;
Number of Pages216
ID Numbers
Open LibraryOL3482121M
ISBN 100824718399
LC Control Number82001500

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A quasi-uniform space (X,U)is called PS-complete provided that each has a cluster locally symmetric [3, ] quasi-uniform spaces the property is equivalent to convergence completeness, i.e., each PS-.l-ter converges. : Hans-Peter A. Künzi.   Since quasi-uniform spaces were defined in , a diverse and widely dispersed literatureconcerning them has emerged. In Quasi-Uniform Spaces, the authorsCited by: Quasi-Uniform SPates. [Fletcher] Lindgren --chapter 4 Topological Ordered Spaces / Fletcher Peter William F. Lindgren --chapter 5 Covering Properties of Quasi-Uniform Spaces / Fletcher Peter William F. Lindgren --chapter 6 Transitive Spaces / Fletcher Peter William F. Lindgren --chapter 7 The Book\/a>, schema:MediaObject\/a> ; \u00A0. The book nurtures a radically different viewpoint oftopology, leading to new insights into purely topological every topological space admits a quasi-uniformity, the study of quasi-uniformspaces can be seen as no less general than the study of topological spaces. For such study,Quasi-Uniform Spaces is a necessary, self-contained.

Quasi-uniform spaces. [Peter Fletcher; William F Lindgren] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book, Internet Resource: All Authors / Contributors: Peter Fletcher; William F Lindgren. Find more information about: ISBN: Quasi-Uniform SPates - CRC Press Book Since quasi-uniform spaces were defined in , a diverse and widely dispersed literatureconcerning them has emerged. In Quasi-Uniform Spaces, the authors present a comprehensivestudy of these structures, together with the theory of quasi-proximities. Good sources for quasi-metric and quasi-uniform spaces are the classical monograph [5], the book [4], and the survey papers [9, 10]. We refer the reader also to the recent book [3] concerning. Uniform spaces generalize metric spaces and topological groups, but the concept is designed to formulate the weakest axioms needed for most proofs in analysis. In addition to the usual properties of a topological structure, in a uniform space one formalizes the notions of .

Quasi-uniform and Quasi-pseudometric Spaces It is well known that for topological spaces there is no obvious way to compare the sizes of neighborhoods of distinct points. Hence important concepts from the theory of metric spaces like total boundedness and uniform continuity cannot be formulated for topological Size: KB.   The book nurtures a radically different viewpoint oftopology, leading to new insights into purely topological every topological space admits a quasi-uniformity, the study of quasi-uniformspaces can be seen as no less general than the study of topological spaces. For such study,Quasi-Uniform Spaces is a necessary, self-contained. Since the basic topological tools come from quasi-metric spaces and quasi-uniform spaces, the first chapter of the book contains a detailed presentation of some basic results from the theory of these spaces. completeness, compactness and Baire category – which drastically differ from those in metric or uniform spaces. The book is fairly. Prefilter spaces of quasi-uniform spaces are proved to be bicomplete. Consequently both the left-sided and the two-sided scale of a quasiuniform space are bicomplete.