Buch, Englisch, 232 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 445 g
Buch, Englisch, 232 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 445 g
Reihe: Lecture Notes in Pure and Applied Mathematics
ISBN: 978-0-8247-1839-8
Verlag: Routledge
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.
Autoren/Hrsg.
Weitere Infos & Material
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
