Ultrafilters Throughout Mathematics

Released on by Isaac Goldbring
preview-18

  • Ultrafilters Throughout Mathematics Book Detail

  • Author : Isaac Goldbring
  • Release Date : 2022-06-13
  • Publisher : American Mathematical Society
  • Genre : Mathematics
  • Pages : 399
  • ISBN 13 : 1470469006
  • File Size : 82,82 MB
DOWNLOAD BOOK

Ultrafilters Throughout Mathematics by Isaac Goldbring PDF Summary

Book Description: Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues. The second part presents the classical ultraproduct construction and provides applications to algebra, number theory, and nonstandard analysis. The third part discusses a metric generalization of the ultraproduct construction and gives example applications to geometric group theory and functional analysis. The final section returns to more advanced topics of a more foundational nature. The book should be of interest to undergraduates, graduate students, and researchers from all areas of mathematics interested in learning how ultrafilters and ultraproducts can be applied to their specialty.

Disclaimer: www.yourbookbest.com does not own Ultrafilters Throughout Mathematics books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Ultrafilters Throughout Mathematics

Ultrafilters Throughout Mathematics

File Size : 32,32 MB
Total View : 2367 Views
DOWNLOAD

Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically,

Ultrafilters across Mathematics

Ultrafilters across Mathematics

File Size : 99,99 MB
Total View : 9211 Views
DOWNLOAD

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

The Theory of Ultrafilters

The Theory of Ultrafilters

File Size : 76,76 MB
Total View : 285 Views
DOWNLOAD

An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity. From the first (logical) property arises

Ultrafilters and Topologies on Groups

Ultrafilters and Topologies on Groups

File Size : 35,35 MB
Total View : 3994 Views
DOWNLOAD

This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with