Category and Measure

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.

Author: N. H. Bingham, Adam J. Ostaszewski
Binding Type: Hardcover
Publisher: Cambridge University Press
Published: 01/23/2025
Series: Cambridge Tracts in Mathematics #233
Pages: 345
Weight: 1.39lbs
Size: 9.00h x 6.00w x 0.81d
ISBN: 9780521196079