The Stone-Cech Compactification by Rc Walker
Recent research has produced a large number of results concerning the Stone-Cech compactification or involving it in a central manner. The goal of this volume is to make many of these results easily accessible by collecting them in a single source together with the necessary introductory material. The author's interest in this area had its origin in his fascination with the classic text Rings of Continuous Functions by Leonard Gillman and Meyer Jerison. This excellent synthesis of algebra and topology appeared in 1960 and did much to draw attention to the Stone-Cech compactification {3X as a tool to investigate the relationships between a space X and the rings C(X) and C*(X) of real-valued continuous functions. Although in the approach taken here {3X is viewed as the object of study rather than as a tool, the influence of Rings of Continuous Functions is clearly evident. Three introductory chapters make the book essentially self-contained and the exposition suitable for the student who has completed a first course in topology at the graduate level. The development of the Stone Cech compactification and the more specialized topological prerequisites are presented in the first chapter. The necessary material on Boolean algebras, including the Stone Representation Theorem, is developed in Chapter 2. A very basic introduction to category theory is presented in the beginning of Chapter 10 and the remainder of the chapter is an introduction to the methods of categorical topology as it relates to the Stone-Cech compactification.-
Methodes d'algebre abstraite en geometrie algebrique
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Invariant Subspaces
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Calculus of Fractions and Homotopy Theory
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Theorie der Limitierungsverfahren
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Compact Convex Sets and Boundary Integrals
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On the Problem of Plateau
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Integrability Theorems for Trigonometric Transforms
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Stochastic Differential Equations
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Some Properties of Differentiable Varieties and Transformations
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Commutation Properties of Hilbert Space Operators and Related Topics
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Discrete Subgroups of Lie Groups
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Neuere Untersuchungen über eindeutige analytische Funktionen
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Modular Lie Algebras
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Varieties of Groups
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Differential Geometry of Foliations
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Partial Differential Equations of Elliptic Type
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Algebren
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Recent Synthetic Differential Geometry
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Coding Theorems of Information Theory
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Bounded Integral Operators on L 2 Spaces
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Involutions on Manifolds
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Probability Measures on Locally Compact Groups
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The Burnside Problem and Identities in Groups
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Vollständige Systeme modaler und intuitionistischer Logik
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Riemann Surfaces and Generalized Theta Functions
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The Divisor Class Group of a Krull Domain
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Fourier Series with Respect to General Orthogonal Systems
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Cohomology Theory of Topological Transformation Groups
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Integration in Hilbert Space
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Angeordnete Strukturen
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Topology on Spaces of Holomorphic Mappings
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Ergodic Properties of Algebraic Fields
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Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
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Complete Normed Algebras
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Theorie der Funktionen mehrerer komplexer Veranderlichen
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Indefinite Inner Product Spaces
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Manifolds all of whose Geodesics are Closed
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Potential Theory on Locally Compact Abelian Groups
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Ideaux de fonctions différentiables
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Topos anneles et schemas relatifs
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Capacites et processus stochastiques
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Sous-ensembles analytiques d'une variete banachique complexe
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Series de Fourier absolument convergentes
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Finiteness Conditions and Generalized Soluble Groups
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Idealtheorie
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Mathematische Grundlagenforschung Intuitionismus Beweistheorie
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Combinatorial Functors
| SKU | Unavailable |
| ISBN 13 | 9783642619373 |
| ISBN 10 | 3642619371 |
| Title | The Stone-Cech Compactification |
| Author | Rc Walker |
| Series | Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 2 Folge |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2011-10-12 |
| Number of pages | 334 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |