Measure and category : a survey of the analogies between topological and measure spaces / John C. Oxtoby
Type de document : MonographieCollection : Graduate texts in mathematics, 2Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 1971Description : 1 vol. (VIII-95 p.) ; 24 cmISBN: 9780387900254.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 92-93. Index.Sujet MSC : 28-02, Research exposition (monographs, survey articles) pertaining to measure and integration28Axx, Measure and integration - Classical measure theory
18B05, Category theory; homological algebra - Special categories, Categories of sets, characterizationsEn-ligne : Springerlink | MathSciNet Item type:
Monographie
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle R | 28 OXT (Browse shelf(Opens below)) | Available | 02685-01 | |
| CMI Salle R | 28 OXT (Browse shelf(Opens below)) | Available | 02685-02 |
The basic guiding idea throughout the book is the analogy between the sets of first category in a topological space (which are "small'' from the topological point of view) and the negligible sets in a measure space (which are "small'' in the sense of measure). This is an idea that goes back to the theorem of Sierpiński (1934), improved by Erdős in 1943. ... The book is self-contained and very clearly written. It contains a great deal of information, and is a useful and interesting tool for anyone studying measure theory and real functions on the real line. (MathSciNet)
Bibliogr. p. 92-93. Index
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