Quasi-Uniform SPates

Quasi-Uniform SPates PDF Author: Fletcher
Publisher:
ISBN: 9780203741443
Category : Electronic books
Languages : en
Pages :

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Quasi-Uniform Spaces

Quasi-Uniform Spaces PDF Author: Peter Fletcher
Publisher: Routledge
ISBN: 1351420291
Category : Mathematics
Languages : en
Pages : 233

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Book 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 .

Quasi-Uniform SPates

Quasi-Uniform SPates PDF Author: Fletcher
Publisher: Routledge
ISBN: 1351420283
Category : Mathematics
Languages : en
Pages : 240

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Book 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 .

Library of Congress Subject Headings

Library of Congress Subject Headings PDF Author: Library of Congress
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1992

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Library of Congress Subject Headings

Library of Congress Subject Headings PDF Author: Library of Congress. Cataloging Policy and Support Office
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1662

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Library of Congress Subject Headings

Library of Congress Subject Headings PDF Author: Library of Congress. Office for Subject Cataloging Policy
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1698

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Library of Congress Subject Headings: P-Z

Library of Congress Subject Headings: P-Z PDF Author: Library of Congress. Subject Cataloging Division
Publisher:
ISBN:
Category : Subject headings
Languages : en
Pages : 1546

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Rings, Modules, and Preradicals

Rings, Modules, and Preradicals PDF Author: Ladislav Bican
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 770

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Introductory Theory of Topological Vector Spates

Introductory Theory of Topological Vector Spates PDF Author: Yau-Chuen Wong
Publisher: CRC Press
ISBN: 9780367402730
Category :
Languages : en
Pages : 440

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Book Description
This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Foundations of Point Set Theory

Foundations of Point Set Theory PDF Author: Robert Lee Moore
Publisher: American Mathematical Soc.
ISBN: 0821810138
Category : Mathematics
Languages : en
Pages : 434

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