Ultrafilters across Mathematics

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  • Ultrafilters across Mathematics Book Detail

  • Author : Vitaly Bergelson
  • Release Date : 2010
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 214
  • ISBN 13 : 082184833X
  • File Size : 62,62 MB

Ultrafilters across Mathematics by Vitaly Bergelson PDF Summary

Book Description: Presents the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains two general surveys on ultrafilters in set theory and on the ultraproduct construction, as well as papers that cover additive and combinatorial number theory, nonstandard methods and stochastic differential equations, measure theory, dynamics, Ramsey theory, algebra in the space of ultrafilters, and large cardinals.

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