Category and measure: infinite combinatorics, topology and groups
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 h...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2025
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| Schriftenreihe: | Cambridge tracts in mathematics
233 |
| Links: | https://doi.org/10.1017/9781139048057 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiii, 331 Seiten) |
| ISBN: | 9781139048057 |
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| spelling | Bingham, N. H. Category and measure infinite combinatorics, topology and groups N.H. Bingham, Adam J. Ostaszewski Cambridge Cambridge University Press 2025 1 Online-Ressource (xiii, 331 Seiten) txt c cr Cambridge tracts in mathematics 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. Ostaszewski, Adam Erscheint auch als Druck-Ausgabe 9780521196079 |
| spellingShingle | Bingham, N. H. Category and measure infinite combinatorics, topology and groups |
| title | Category and measure infinite combinatorics, topology and groups |
| title_auth | Category and measure infinite combinatorics, topology and groups |
| title_exact_search | Category and measure infinite combinatorics, topology and groups |
| title_full | Category and measure infinite combinatorics, topology and groups N.H. Bingham, Adam J. Ostaszewski |
| title_fullStr | Category and measure infinite combinatorics, topology and groups N.H. Bingham, Adam J. Ostaszewski |
| title_full_unstemmed | Category and measure infinite combinatorics, topology and groups N.H. Bingham, Adam J. Ostaszewski |
| title_short | Category and measure |
| title_sort | category and measure infinite combinatorics topology and groups |
| title_sub | infinite combinatorics, topology and groups |
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