A01=Peter Fletcher
A01=William F. Lindgren
advanced mathematical analysis
Author_Peter Fletcher
Author_William F. Lindgren
Baire Category Theorem
base
boundedness
Category=PBPH
Closed Subspace
Cluster Point
Compact Hausdorff Spaces
Convex Uniformity
countable
Countable Base
Dense Subspace
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Topology
Filter Base
fine
Finite Cover
Finite Subcover
Fletcher Peter
general topology
hausdorff
Lebesgue Number
Lower Semi-continuous Functions
metric space theory
Moore Space
open
Open Cover
Open Finite Cover
Open Refinement
Order Compactification
Order Embedding
ordered topological structures
Partial Order
proximity spaces
symmetry properties
topological
Topological Space
total
Totally Bounded
transitive quasi-metric space research
Transitive Space
tychonoff
Tychonoff Space
Uniform Space
uniformity
William F. Lindgren
Product details
- ISBN 9780824718398
- Weight: 453g
- Dimensions: 178 x 254mm
- Publication Date: 03 May 1982
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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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
