[PDF] Rings Of Continuous Functions And Related Topological Considerations eBook

Author : S. Warner
Publisher : Elsevier
Page : 509 pages
File Size : 27,41 MB
Release : 1993-07-07
Category : Mathematics
ISBN : 0080872891

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This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Author : Leonard Gillman
Publisher : Courier Dover Publications
Page : 321 pages
File Size : 17,83 MB
Release : 2018-01-16
Category : Mathematics
ISBN : 0486816885

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Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.

Author : Aull
Publisher : CRC Press
Page : 342 pages
File Size : 31,31 MB
Release : 1985-03-27
Category : Mathematics
ISBN : 9780824771447

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This timely work is the first book in several years to review and update important developments in the study of rings of continuous functions. Integrating the recent efforts of leading mathematicians, Rings of Continuous Functions presents chapters with varying emphasis on algebra, analysis, and general topology with particular focus on category theory, cardinality axioms, and set theory. Additionally, historical perspectives and a review of early contributions by leading Soviet mathematicians such as P. S. Aleksandrov and A. N. Tychonov help provide a full, up-to-date understanding of current knowledge. An unparalleled overview of the state of the art, Rings of Continuous Functions will be an invaluable reference for topologists, algebraists, analysts, and geometers active in the field, and an excellent introduction for interested nonspecialist mathematicians. Also, research problems raised in each chapter and in a special final chapter offer provocative avenues for further research -- facilitated by more than 300 literature citations. Book jacket.

Author : J.-I. Nagata
Publisher : Elsevier
Page : 533 pages
File Size : 29,25 MB
Release : 1985-11-01
Category : Mathematics
ISBN : 0080933793

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This classic work has been fundamentally revised to take account of recent developments in general topology. The first three chapters remain unchanged except for numerous minor corrections and additional exercises, but chapters IV-VII and the new chapter VIII cover the rapid changes that have occurred since 1968 when the first edition appeared. The reader will find many new topics in chapters IV-VIII, e.g. theory of Wallmann-Shanin's compactification, realcompact space, various generalizations of paracompactness, generalized metric spaces, Dugundji type extension theory, linearly ordered topological space, theory of cardinal functions, dyadic space, etc., that were, in the author's opinion, mostly special or isolated topics some twenty years ago but now settle down into the mainstream of general topology.

Author : Aull
Publisher : CRC Press
Page : 337 pages
File Size : 42,92 MB
Release : 2020-12-17
Category : Mathematics
ISBN : 1000111113

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This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.

Author : Marston Morse
Publisher : Princeton University Press
Page : 156 pages
File Size : 48,43 MB
Release : 1948-01-20
Category : Mathematics
ISBN : 9780691095028

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A classic treatment of topological methods in the theory of functions of a complex variable from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.