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The Stone-Cech Compactification (Hardcover, 1974 ed.): R.C. Walker The Stone-Cech Compactification (Hardcover, 1974 ed.)
R.C. Walker
R4,302 Discovery Miles 43 020 Ships in 10 - 15 working days

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."

The Real in the Ideal - Berkeley's Relation to Kant (Paperback): R.C.S. Walker The Real in the Ideal - Berkeley's Relation to Kant (Paperback)
R.C.S. Walker
R1,182 Discovery Miles 11 820 Ships in 12 - 19 working days

This book, first published in 1989, presents sixteen articles on Kant and Berkeley, examining their attitude to the physical world. They were both idealists, regarding the physical world as being in some way a product of perceptions and thought. At the same time they both held it to be no mere illusion, but real and objective: it was in a sense ideal, but in a different sense also real.

The Real in the Ideal - Berkeley's Relation to Kant (Hardcover): R.C.S. Walker The Real in the Ideal - Berkeley's Relation to Kant (Hardcover)
R.C.S. Walker
R3,583 Discovery Miles 35 830 Ships in 12 - 19 working days

This book, first published in 1989, presents sixteen articles on Kant and Berkeley, examining their attitude to the physical world. They were both idealists, regarding the physical world as being in some way a product of perceptions and thought. At the same time they both held it to be no mere illusion, but real and objective: it was in a sense ideal, but in a different sense also real.

The Stone-Cech Compactification (Paperback, Softcover reprint of the original 1st ed. 1974): R.C. Walker The Stone-Cech Compactification (Paperback, Softcover reprint of the original 1st ed. 1974)
R.C. Walker
R1,536 Discovery Miles 15 360 Ships in 10 - 15 working days

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."

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