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Coarse Structure
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Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical fields of geometry and topology, a coarse structure on a set X is a collection of subsets of the cartesian product X × X with certain properties which allow the large-scale structure of metric spaces and topological spaces to be defined. The concern of traditional geometry and topology is with the small-scale structure of the space: properties such as the continuity of a function depend on whether the inverse images of small open sets, or neighborhoods, are themselves open. Large-scale properties of a space such as boundedness, or the degrees of freedom of the space do not depend on such features. Coarse geometry and coarse topology provide tools for measuring the large-scale properties of a space, and just as a metric or a topology contains information on the small-scale structure of a space, a coarse structure contains information on its large-scale properties.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131272097
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131272097
- Format Fachbuch
- Titel Coarse Structure
- Herausgeber Betascript Publishing
- Anzahl Seiten 88
- Genre Mathematik
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