Quasi-Uniform Spaces (Lecture Notes in Pure and Applied Mathematics) (Lecture Notes in Pure & Applied Mathematics, Band 77) - Softcover

Fletcher, Peter

Softcover

ISBN 10: 0824718399 ISBN 13: 9780824718398

Verlag: Crc Press, 1982

Inhaltsangabe

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 .

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Über die Autorin bzw. den Autor

Peter Fletcher, William F. Lindgren

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Since quasi-uniform spaces were defined in 1948, a diverse and widely dispersed literatureconcerning them has emerged

Details zur Ausgabe

• Verlag: Crc Press
• Erscheinungsdatum: 1982
• Sprache: Englisch
• ISBN 10: 0824718399
• ISBN 13: 9780824718398
• Einband: Taschenbuch
• Anzahl der Seiten: 232
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Deutschland