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

By N. H. Bingham, Adam J. Ostaszewski 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.
Product Details

Publisher ‏ : ‎ Cambridge University Press
Publication date ‏ : ‎ January 23, 2025
Edition ‏ : ‎ 1st
Language ‏ : ‎ English
ISBN-10 ‏ : ‎ 0521196078
ISBN-13 ‏ : ‎ 978-0521196079