Quasi-Uniform Spaces

di Peter Fletcher (Autore)

William F. Lindgren (Autore)

Taylor & Francis Inc, 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 .

• Autore: Peter Fletcher, William F. Lindgren
• Editore: Taylor & Francis Inc
• Collana: Lecture Notes in Pure and Applied Mathematics
• Anno: 1982
• Rilegatura: Paperback / softback
• Pagine: 232 p.
• Dimensioni: 254 x 178 mm
• Peso: 453 gr.
• EAN: 9780824718398

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