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portada Category and Measure: Infinite Combinatorics, Topology and Groups (Cambridge Tracts in Mathematics, Series Number 233)
Type
Physical Book
Publisher
Author
Language
English
Pages
345
Format
Hardcover
ISBN13
9780521196079
Edition No.
1

Category and Measure: Infinite Combinatorics, Topology and Groups (Cambridge Tracts in Mathematics, Series Number 233)

N. H. Bingham; Adam J. Ostaszewski (Author) · Cambridge University Press · Hardcover

Category and Measure: Infinite Combinatorics, Topology and Groups (Cambridge Tracts in Mathematics, Series Number 233) - N. H. Bingham; Adam J. Ostaszewski

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Synopsis "Category and Measure: Infinite Combinatorics, Topology and Groups (Cambridge Tracts in Mathematics, Series Number 233)"

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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