Category and Measure: Infinite Combinatorics, Topology and Groups
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ID: 288058
2025
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Abstract
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.
| Reference Key |
persistent_1761420311_68fd2417c40c4
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|---|---|
| Authors | N. H. Bingham, Adam J. Ostaszewski |
| Journal | ADVANCES IN ARCHAEOLOGICAL PRACTICE |
| Year | 2025 |
| DOI |
10.1017/9781139048057
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| URL | |
| Keywords | Keywords not found |
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