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Category and Measure: Infinite Combinatorics, Topology and Groups by N. H. Bingham (Imperial College London) at Abbey's Bookshop,
Category and Measure: Infinite Combinatorics, Topology and Groups
— —
N. H. Bingham (Imperial College London) Adam J. Ostaszewski (London School of Economics and Political Science)

Category and Measure

Infinite Combinatorics, Topology and Groups

N. H. Bingham (Imperial College London),  Adam J. Ostaszewski (London School of Economics and Political Science)

$211.95

Hardback

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English
Cambridge University Press
23 January 2025
Calculus & mathematical analysis
Series: Cambridge Tracts in Mathematics
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.
By:   ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   233
ISBN:   9780521196079
ISBN 10:   0521196078
Series:   Cambridge Tracts in Mathematics
Pages:   345
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Hardback
Publisher's Status:   Active

N. H. Bingham is Emeritus Professor at Imperial College London. He is a probabilist with interests also in analysis, statistics, financial mathematics and history of mathematics, all of which he has taught extensively. He has written more than 160 papers and three books, and edited three others. Adam J. Ostaszewski is Professor at the London School of Economics. His research interests span set theory and topology (where he is known for Ostaszewski's clubs and Ostaszewski's space), and applications of real analysis to probability, economics and accounting. He is the author of more than 100 papers and three books.

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