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Quasi-Uniform Spates

W F Lindgren, Peter Fletcher, P Fletcher
Livre broché | Anglais | Lecture Notes in Pure and Applied Mathematics | n° 77
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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 .

Spécifications

Parties prenantes

Auteur(s) :
Editeur:

Contenu

Nombre de pages :
232
Langue:
Anglais
Collection :
Tome:
n° 77

Caractéristiques

EAN:
9780824718398
Date de parution :
03-05-82
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
165 mm x 244 mm
Poids :
453 g

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