Quasi-Uniform SPates (Paperback)

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 .

General

Imprint:	Routledge Member of the Taylor and Francis Group
Country of origin:	United States
Series:	Lecture Notes in Pure and Applied Mathematics
Release date:	May 1982
First published:	1982
Authors:	Fletcher
Dimensions:	254 x 178 x 12mm (L x W x T)
Format:	Paperback
Pages:	232
ISBN-13:	978-0-8247-1839-8
Categories:	Books > Science & Mathematics > Mathematics > Topology > Analytic topology
LSN:	0-8247-1839-9
Barcode:	9780824718398

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