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Home > Mathematics and Science Textbooks > Mathematics > Geometry > Coarse Structure
Coarse Structure

Coarse Structure


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About the Book

High Quality Content by WIKIPEDIA articles! 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 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.


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Product Details
  • ISBN-13: 9786131272097
  • Publisher: Betascript Publishing
  • Publisher Imprint: Betascript Publishing
  • Height: 152 mm
  • Weight: 145 gr
  • ISBN-10: 6131272093
  • Publisher Date: 16 Aug 2010
  • Binding: Paperback
  • Spine Width: 6 mm
  • Width: 229 mm


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