Quasi-Uniform SPates
Author | : Fletcher |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : Electronic books |
ISBN | : 9780203741443 |
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Author | : Fletcher |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : Electronic books |
ISBN | : 9780203741443 |
Author | : Peter Fletcher |
Publisher | : Routledge |
Total Pages | : 233 |
Release | : 2018-04-27 |
Genre | : Mathematics |
ISBN | : 1351420291 |
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 .
Author | : Fletcher |
Publisher | : Routledge |
Total Pages | : 240 |
Release | : 2018-04-27 |
Genre | : Mathematics |
ISBN | : 1351420283 |
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 .
Author | : Library of Congress |
Publisher | : |
Total Pages | : 1992 |
Release | : 2010 |
Genre | : Subject headings, Library of Congress |
ISBN | : |
Author | : Library of Congress. Cataloging Policy and Support Office |
Publisher | : |
Total Pages | : 1662 |
Release | : 2004 |
Genre | : Subject headings, Library of Congress |
ISBN | : |
Author | : Library of Congress. Office for Subject Cataloging Policy |
Publisher | : |
Total Pages | : 1698 |
Release | : 1991 |
Genre | : Subject headings, Library of Congress |
ISBN | : |
Author | : Library of Congress. Subject Cataloging Division |
Publisher | : |
Total Pages | : 1546 |
Release | : 1989 |
Genre | : Subject headings |
ISBN | : |
Author | : Ladislav Bican |
Publisher | : |
Total Pages | : 770 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : |
Author | : Yau-Chuen Wong |
Publisher | : CRC Press |
Total Pages | : 440 |
Release | : 2019-08-30 |
Genre | : |
ISBN | : 9780367402730 |
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.
Author | : David Hackett Fischer |
Publisher | : Oxford University Press |
Total Pages | : 981 |
Release | : 1991-03-14 |
Genre | : History |
ISBN | : 019974369X |
This fascinating book is the first volume in a projected cultural history of the United States, from the earliest English settlements to our own time. It is a history of American folkways as they have changed through time, and it argues a thesis about the importance for the United States of having been British in its cultural origins. While most people in the United States today have no British ancestors, they have assimilated regional cultures which were created by British colonists, even while preserving ethnic identities at the same time. In this sense, nearly all Americans are "Albion's Seed," no matter what their ethnicity may be. The concluding section of this remarkable book explores the ways that regional cultures have continued to dominate national politics from 1789 to 1988, and still help to shape attitudes toward education, government, gender, and violence, on which differences between American regions are greater than between European nations.