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Dimension Theory: A Selection of Theorems and Counterexamples, Charalambous Michael G.


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Автор: Charalambous Michael G.
Название:  Dimension Theory: A Selection of Theorems and Counterexamples
ISBN: 9783030222345
Издательство: Springer
Классификация:

ISBN-10: 3030222349
Обложка/Формат: Paperback
Страницы: 261
Вес: 0.39 кг.
Дата издания: 18.10.2020
Язык: English
Размер: 23.39 x 15.60 x 1.45 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: - Topological Spaces. - The Three Main Dimension Functions. - The Countable Sum Theorem for Covering Dimension. - Urysohn Inequalities. - The Dimension of Euclidean Spaces. - Connected Components and Dimension. - Factorization and Compactification Theorems for Separable Metric Spaces. - Coincidence, Product and Decomposition Theorems for Separable Metric Spaces. - Universal Spaces for Separable Metric Spaces of Dimension at Most n. - Axiomatic Characterization of the Dimension of Separable Metric Spaces. - Cozero Sets and Covering Dimension dim0. - ψ-Spaces and the Failure of the Sum and Subset Theorems for dim0. - The Inductive Dimension Ind0. - Two Classical Examples. - The Gap Between the Covering and the Inductive Dimensions of Compact Hausdorff Spaces. - Inverse Limits and N-Compact Spaces. - Some Standard Results Concerning Metric Spaces. - The Mardesi c Factorization Theorem and the Dimension of Metrizable Spaces. - A Metrizable Space with Unequal Inductive Dimensions. - No Finite Sum Theorem for the Small Inductive Dimension of Metrizable Spaces. - Failure of the Subset Theorem for Hereditarily Normal Spaces. - A Zero-Dimensional, Hereditarily Normal and Lindelцf Space Containing Subspaces of Arbitrarily Large Dimension. - Cosmic Spaces and Dimension. - n-Cardinality and Bernstein Sets. - The van Douwen Technique for Constructing Counterexamples. - No Compactification Theorem for the Small Inductive Dimension of Perfectly Normal Spaces. - Normal Products and Dimension. - Fully Closed and Ring-Like Maps. - Fedorčuks Resolutions. - Compact Spaces Without Intermediate Dimensions. - More Continua with Distinct Covering and Inductive Dimensions. - The Gaps Between the Dimensions of Normal Hausdorff Spaces.


Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Counterexamples in Measure and Integration

Автор: Ren? L. Schilling , Franziska K?hn
Название: Counterexamples in Measure and Integration
ISBN: 1316519139 ISBN-13(EAN): 9781316519134
Издательство: Cambridge Academ
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Цена: 17424.00 р.
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Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.

Counterexamples in measure and integration

Автор: Schilling, Rene L. (technische Universitat, Dresden) Kuhn, Franziska (technische Universitat, Dresden)
Название: Counterexamples in measure and integration
ISBN: 1009001620 ISBN-13(EAN): 9781009001625
Издательство: Cambridge Academ
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Цена: 5542.00 р.
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Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.

Counterexamples in Topology

Автор: L.A. Steen; J.A. Jr. Seebach
Название: Counterexamples in Topology
ISBN: 0387903127 ISBN-13(EAN): 9780387903125
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Al- though it would be hazardous to claim that the creation of significant examples is less demanding than the development of theory, we have dis- covered that focusing on examples is a particularly expeditious means of involving undergraduate mathematics students in actual research.

Sharp Real-Part Theorems

Автор: Gershon Kresin; T. Shaposhnikova; T. Shaposhnikova
Название: Sharp Real-Part Theorems
ISBN: 3540695737 ISBN-13(EAN): 9783540695738
Издательство: Springer
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Цена: 4186.00 р.
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Описание: This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.

Vanishing Theorems on Complex Manifolds

Автор: B. Shiffman; Sommese
Название: Vanishing Theorems on Complex Manifolds
ISBN: 148996682X ISBN-13(EAN): 9781489966827
Издательство: Springer
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Цена: 10480.00 р.
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Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

Автор: Georgiev, Svetlin , Zennir, Khaled
Название: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs
ISBN: 0367464322 ISBN-13(EAN): 9780367464325
Издательство: Taylor&Francis
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Описание: The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques.

Tauberian Theorems for Generalized Functions

Автор: V.S. Vladimirov; Yu.N. Drozzinov; O.I. Zavialov
Название: Tauberian Theorems for Generalized Functions
ISBN: 9027723834 ISBN-13(EAN): 9789027723833
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;

Problems and Theorems in Analysis

Автор: Georg Polya; Dorothee Aeppli; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902244 ISBN-13(EAN): 9780387902241
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The present English edition is not a mere translation of the German original. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space.

Elementary Fixed Point Theorems

Автор: Subrahmanyam P. V.
Название: Elementary Fixed Point Theorems
ISBN: 981133157X ISBN-13(EAN): 9789811331572
Издательство: Springer
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Описание: This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory via a certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy–Kowalevsky theorem for partial differential equations and the central limit theorem. It also provides a proof of the converse of the contraction principle due to Jachymski, a proof of fixed point theorem for continuous generalized contractions, a proof of Browder–Gohde–Kirk fixed point theorem, a proof of Stalling's generalization of Brouwer's theorem, examine Caristi's fixed point theorem, and highlights Kakutani's theorems on common fixed points and their applications.

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos
Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
ISBN: 1461368200 ISBN-13(EAN): 9781461368205
Издательство: Springer
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