| Quasi-Uniform Spates Contributor(s): Lindgren, W. F. (Author), Fletcher, Peter (Author), Fletcher, P. (Author) |
|
 |
ISBN: 0824718399 ISBN-13: 9780824718398 Publisher: Routledge OUR PRICE: $266.00 Product Type: Paperback - Other Formats Published: May 1982 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Geometry - General |
| Dewey: 514.320 |
| LCCN: 82001500 |
| Series: Lecture Notes in Pure and Applied Mathematics |
| Physical Information: 0.6" H x 6.5" W x 9.62" (1.00 lbs) 232 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 . |
