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Category and Measure

Category and Measure - Hardcover

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Availability:In StockContributor:N. H. Bingham, Adam J. OstaszewskiSeries:Cambridge Tracts in Mathematics #233Publish date:01/23/25Pages:345
Language:EnglishPublisher:Cambridge University PressISBN-13:9780521196079ISBN-10:521196078UPC:9780521196079Book Category:MathematicsBook Subcategory:Algebra, Mathematical AnalysisBook Topic:AbstractSize:9.00 x 6.00 x 0.81 inchesWeight:1.3911Product ID:SC950C7B11
Topological spaces in general, and the real numbers in particular, have the characteristic of exhibiting a 'continuity structure', one that can be examined from the vantage point of Baire category or of Lebesgue measure. Though they are in some sense dual, work over the last half-century has shown that it is the former, topological view, that has pride of place since it reveals a much richer structure that draws from, and gives back to, areas such as analytic sets, infinite games, probability, infinite combinatorics, descriptive set theory and topology. Keeping prerequisites to a minimum, the authors provide a new exposition and synthesis of the extensive mathematical theory needed to understand the subject's current state of knowledge, and they complement their presentation with a thorough bibliography of source material and pointers to further work. The result is a book that will be the standard reference for all researchers in the area.
Language:EnglishPublisher:Cambridge University PressISBN-13:9780521196079ISBN-10:521196078UPC:9780521196079Book Category:MathematicsBook Subcategory:Algebra, Mathematical AnalysisBook Topic:AbstractSize:9.00 x 6.00 x 0.81 inchesWeight:1.3911Product ID:SC950C7B11
Publisher: Cambridge University Press

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