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N. H. Bingham, Adam J. Ostaszewski - Category and Measure Infinite combinatorics, topology, and groups

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Afbeelding: N. H. Bingham, Adam J. Ostaszewski - Category and Measure Infinite combinatorics, topology, and groups
Schrijver: N. H. Bingham, Adam J. Ostaszewski
Titel: Category and Measure Infinite combinatorics, topology, and groups
ISBN: 9780521196079
Uitgever: Cambridge University Press
Bijzonderheid: Goed, 2025, Gekartonneerd, 345p
Prijs: € 65,00
€ 3,50
Meer info 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.
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