Since quasi-uniform spaces were defined in 1948

A diverse and widely dispersed literature concerning them has emerged. In Quasi-Uniform Spaces, the authors present a comprehensive study of these structures, together with the theory of quasi-proximities. In addition to new results unavailable elsewhere, the volume unites fundamental material heretofore scattered throughout the literature.

Quasi-Uniform Spaces

shows by example that these structures provide a natural approach to 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 that every GO space is transitive, and R. Fox's example of a non-quasi-metrizable r-space. In addition to numerous interesting problems mentioned throughout the text, 22 formal research problems are featured. The book nurtures a radically different viewpoint of topology, leading to new insights into purely topological problems.

Since every topological space admits a quasi-uniformity

The study of quasi-uniform spaces 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 and graduate students of general topology. Information is made particularly accessible with the inclusion of an extensive index and bibliography.