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• catalog abstract "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.".
• catalog contributor b538289.
• catalog contributor b538290.
• catalog created "c1985.".
• catalog date "1985".
• catalog date "c1985.".
• catalog dateCopyrighted "c1985.".
• catalog description "Includes bibliographies and index.".
• catalog description "Some Genealogies in Rings of Continuous Functions / Charles E. Aull -- A Cardinal Generalization of z-Embedding / Robert L. Blair -- The Birth of the Stone-Čech Compactification / Douglas E. Cameron -- Generalized Perfect Maps and a Theorem of I. Juhasz / W. Wistar Comfort, Teklehaimanot Retta -- On Initially [kappa]-Compact Spaces / Alan Dow -- Relatively Uniformly Complete [Phi]-Algebras / William A. Feldman -- Extreme Positive Operators and Function Spaces / William A. Feldman, James F. Porter -- A Note on Extending Zero Sets from the Real Line / Ralph Fox -- Rings of Continuous Functions Are Rings: A Survey / Leonard Gillman -- C(X) Has No Proper Functorial Hulls / Anthony W. Hager -- Algebraic Closures of l-Groups of Continuous Functions / Anthony W. Hager -- Unsolved Problems on Algebraic Aspects of C(X) / Melvin E. Henriksen -- Prime Ideals in Function Rings / Meyer Jerison -- Partial Extension of Bounded Functions to Compactifications / Ronnie Levy -- The Extension of Uniformly Continuous Banach Space-Valued Mappings / Ronnie Levy, Michael D. Rice -- The Long Line as a Remainder / John Mack -- N-Compactness, Metrizability, and Covering Dimension / Stanislaw Mrowka -- Concerning the Equation C([Pi]{X[subscript a]}) = C([Pi]{wX[subscript a]}) / Robert M. Stephenson, Jr. -- Some Topological Characterizations of the Generalized Continuum Hypothesis / Mary Anne Swardson -- More Realcompact Spaces / Scott W. Williams -- Hausdorff Extension Properties: A Summary / R. Grant Woods -- Problem Section / Charles E. Aull.".
• catalog description "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.".
• catalog extent "x, 318 p. :".
• catalog identifier "0824771443 (pbk.)".
• catalog isPartOf "Lecture notes in pure and applied mathematics ; 95".
• catalog isPartOf "Lecture notes in pure and applied mathematics ; v. 95.".
• catalog issued "1985".
• catalog issued "c1985.".
• catalog language "eng".
• catalog publisher "New York : Dekker,".
• catalog subject "Function spaces.".
• catalog subject "Functions, Continuous.".
• catalog subject "QA323 .R56 1985".
• catalog subject "Rings (Algebra)".
• catalog tableOfContents "Some Genealogies in Rings of Continuous Functions / Charles E. Aull -- A Cardinal Generalization of z-Embedding / Robert L. Blair -- The Birth of the Stone-Čech Compactification / Douglas E. Cameron -- Generalized Perfect Maps and a Theorem of I. Juhasz / W. Wistar Comfort, Teklehaimanot Retta -- On Initially [kappa]-Compact Spaces / Alan Dow -- Relatively Uniformly Complete [Phi]-Algebras / William A. Feldman -- Extreme Positive Operators and Function Spaces / William A. Feldman, James F. Porter -- A Note on Extending Zero Sets from the Real Line / Ralph Fox -- Rings of Continuous Functions Are Rings: A Survey / Leonard Gillman -- C(X) Has No Proper Functorial Hulls / Anthony W. Hager -- Algebraic Closures of l-Groups of Continuous Functions / Anthony W. Hager -- Unsolved Problems on Algebraic Aspects of C(X) / Melvin E. Henriksen -- Prime Ideals in Function Rings / Meyer Jerison -- Partial Extension of Bounded Functions to Compactifications / Ronnie Levy -- The Extension of Uniformly Continuous Banach Space-Valued Mappings / Ronnie Levy, Michael D. Rice -- The Long Line as a Remainder / John Mack -- N-Compactness, Metrizability, and Covering Dimension / Stanislaw Mrowka -- Concerning the Equation C([Pi]{X[subscript a]}) = C([Pi]{wX[subscript a]}) / Robert M. Stephenson, Jr. -- Some Topological Characterizations of the Generalized Continuum Hypothesis / Mary Anne Swardson -- More Realcompact Spaces / Scott W. Williams -- Hausdorff Extension Properties: A Summary / R. Grant Woods -- Problem Section / Charles E. Aull.".
• catalog title "Rings of continuous functions / edited by Charles E. Aull.".
• catalog type "text".