Quasi-Uniform Spaces

Peter Fletcher, William F. Lindgren (Autoren)

Buch | Softcover

232 Seiten

1982
Crc Press Inc (Verlag)
978-0-8247-1839-8 (ISBN)

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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 .

Peter Fletcher, William F. Lindgren

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

Erscheint lt. Verlag	3.5.1982
Reihe/Serie	Lecture Notes in Pure and Applied Mathematics
Verlagsort	Bosa Roca
Sprache	englisch
Maße	178 x 254 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8247-1839-9 / 0824718399
ISBN-13	978-0-8247-1839-8 / 9780824718398
Zustand	Neuware