Sinossi
This book is addressed to those who know the meaning of each word in the title: none is defined in the text. The reader can estimate the knowledge required by looking at Chapter 0; he should not be dis couraged, however, if he finds some of its material unfamiliar or the presentation rather hurried. Our objective is a systematic study of the ring C(X) of all real-valued continuous functions on an arbitrary topological space X. We are con cerned with algebraic properties of C(X) and its subring C*(X) of bounded functions and with the interplay between these properties and the topology of the space X on which the functions are defined. Major emphasis is placed on the study of ideals, especially maximal ideals, and on their associated residue class rings. Problems of extending continuous functions from a subspace to the entire space arise as a necessary adjunct to this study and are dealt with in considerable detail. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5 and the beginning of Chapter 10, presents the fundamental aspects of the subject insofar as they can be discussed without introducing the Stone-Cech compactification. In Chapter 3, the study is reduced to the case of completely regular spaces.
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Contenuti
1 Functions on a Topological Space.- 2 Ideals and z-Filters.- 3 Completely Regular Spaces.- 4 Fixed Ideals. Compact Spaces.- 5 Ordered Residue Class Rings.- 6 The Stone-?ech Compactification.- 7 Characterization of Maximal Ideals.- 8 Realcompact Spaces.- 9 Cardinals of Closed Sets in ?X.- 10 Homomorphisms and Continuous Mappings.- 11 Embedding in Products of Real Lines.- 12 Discrete Spaces. Nonmeasurable Cardinals.- 13 Hyper-Real Residue Class Fields.- 14 Prime Ideals.- 15 Uniform Spaces.- 16 Dimension.- Notes.- List of Symbols.
Product Description
Book by Gillman L Jerison M
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Risultati della ricerca per Rings of Continuous Functions: 43
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Rings of Continuous Functions
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Springer - Verlag, New York, 1976
ISBN 10: 0387901981
ISBN 13: 9780387901985
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hardcover. Condizione: very good. no jacket. second printing. 6 1/4 x 9 1/2 " 300 pages plus publisher's list. part of the series Graduate Texts in Mathematics 43. "Our objective is a systematic study of the ring C(X) of all real-valued continuous functions on an arbitrary topological space X." very clean ex college library book. stamped on top edge of pages. stamped withdrawn on title page over college blind stamp. pocket and small sticker on inside rear cover. Codice articolo 132137
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TRings of Continuous Functions: 43 (The university series in higher mathematics)
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Springer, 1976
ISBN 10: 0387901981
ISBN 13: 9780387901985
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Hardcover. Condizione: Near Fine. 1st Edition. This is a near fine, unmarked, third printing of the 1976 Springer-Verlag hardcover edition, no DJ white spine. 300 pages with index. Codice articolo 101546
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Rings of Continuous Functions (The university series in higher mathematics)
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Springer, 1976
ISBN 10: 0387901981
ISBN 13: 9780387901985
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Da: My Dead Aunt's Books, Hyattsville, MD, U.S.A.
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hardcover. Condizione: Good. 1st ed. 1960. 2nd printing 1976. Unmarked hardcover in no jacket. Codice articolo 147807
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Rings of Continous Functions - Undergraduate Texts
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Springer-Verlag, U.S.A, 1976
ISBN 10: 0387901981
ISBN 13: 9780387901985
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Da: Literary Cat Books, Machynlleth, Powys, WALES, Regno Unito
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Hardcover. Condizione: Very Good+. Condizione sovraccoperta: No Dust Jacket. (?); (?). Slight wear to top and bottom of spine. Previous owners name written in blue pen on front pastedown. ; Contains notes from previous owner. This classic text explores how the algebra of continuous real-valued functions reflects the topology of the space they're defined on. Blending point-set topology with commutative algebra, the book offers a deep and elegant introduction to topological algebra. Ideal for advanced undergraduates or early graduate students, it remains a foundational reference for those interested in the structure of function spaces and their connections to modern analysis. ; 16.2x24.6x2.1cm; xiii,300,(2) pages. Codice articolo 63824
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Rings of Continuous Functions: 43 (The university series in higher mathematics)
Editore:
Springer, 1976
ISBN 10: 0387901981
ISBN 13: 9780387901985
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Prima edizione
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
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hardcover. Condizione: Good. 1st ed. 1960. 2nd printing 1976. Slight tanning to pages. Fading to boards and spine. Boards a little marked. Codice articolo 721306
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Rings of Continuous Functions
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
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Cloth. Condizione: Good. Type: Book N.B. Small plain label to ffep. Light rubbing to head and tail of spine and corners of boards. Boards a little marked. Some light stains to ffep and front paste down. Codice articolo 051783
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Rings of Continuous Functions (The university series in higher mathematics)
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Condizione: Very good. Codice articolo 9780387901985-2-2
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