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Quasi-Uniform Spaces

Peter Fletcher William F. Lindgren

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English
CRC Press Inc
03 May 1982
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 .

By:   ,
Imprint:   CRC Press Inc
Country of Publication:   United States
Volume:   77
Dimensions:   Height: 254mm,  Width: 178mm,  Spine: 12mm
Weight:   453g
ISBN:   9780824718398
ISBN 10:   0824718399
Series:   Lecture Notes in Pure and Applied Mathematics
Pages:   232
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Professional & Vocational ,  A / AS level ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active

Peter Fletcher, William F. Lindgren

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