Quasi-uniform spaces

Author(s)

• Fletcher, Peter
• Lindgren, William F.

Bibliographic Information

Quasi-uniform spaces

Peter Fletcher, William F. Lindgren

（Lecture notes in pure and applied mathematics, v. 77）

M. Dekker, c1982

• pbk.

Note

Bibliography: p. 195-205

Includes index

Description and Table of Contents

Description

Since quasi-uniform spaces were defined in 1948, 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. In additionto new results unavailable elsewhere, the volume unites fundamental materialheretofore scattered throughout the literature.Quasi-Uniform Spaces shows by example that these structures provide a natural approachto the study of point-set topology. It is the only source for many results related to completeness,and a primary source for the study of both transitive and quasi-metric spaces.Included are H. Junnila's analogue of Tamano's theorem, J. Kofner's result showing thatevery GO space is transitive, and R. Fox's example of a non-quasi-metrizable r-space. Inaddition to numerous interesting problems mentioned throughout the text , 22 formalresearch problems are featured. The book nurtures a radically different viewpoint oftopology , leading to new insights into purely topological problems.Since 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 reference for both researchers andgraduate students of general topology . Information is made particularly accessible withthe inclusion of an extensive index and bibliography .

Table of Contents

1. Elementary Properties of Quasi-Uniformities and Quasi-Proximities 2. Approximations of Symmetry 3. Completeness 4. Topological Ordered Spaces 5. Covering Properties of Quasi-Uniform Spaces 6. Transitive Spaces 7. Quasi-Metrizable Spaces

by "Nielsen BookData"

Details

• NCID: BA0142102X
• ISBN:
  • 0824718399
• LCCN: 82001500
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: viii, 216 p.
• Size: 26 cm
• Classification:
  • LCC : QA611.25
  • DC19 : 514/.3202
• Subject Headings:
  • LCSH : Quasi-uniform spaces
• Parent Bibliography ID:
  • BA00256405