Find out how to access previewonly content
pp 83133
Date:
A Formulation of the Kepler Conjecture
 Thomas C. HalesAffiliated withDepartment of Mathematics, University of Pittsburgh Email author
 , Samuel P. FergusonAffiliated with
Abstract
This paper is the second in a series of six papers devoted to the proof of the Kepler conjecture, which asserts that no packing of congruent balls in three dimensions has density greater than the facecentered cubic packing. The top level structure of the proof is described. A compact topological space is described. Each point of this space can be described as a finite cluster of balls with additional combinatorial markings. A continuous function on this compact space is defined. It is proved that the Kepler conjecture will follow if the value of this function is never greater than a given explicit constant.
 Title
 A Formulation of the Kepler Conjecture
 Book Title
 The Kepler Conjecture
 Book Subtitle
 The HalesFerguson Proof
 Book Part
 Part II
 Pages
 pp 83133
 Copyright
 2011
 DOI
 10.1007/9781461411291_4
 Print ISBN
 9781461411284
 Online ISBN
 9781461411291
 Publisher
 Springer New York
 Copyright Holder
 Springer Science+Business Media, LLC
 Additional Links
 Topics
 eBook Packages
 Editors

 Jeffrey C. Lagarias ^{(1)}
 Editor Affiliations

 1. Dept. Mathematics, University of Michigan Dept. Mathematics
 Authors

 Thomas C. Hales ^{(2)}
 Samuel P. Ferguson ^{(3)}
 Author Affiliations

 2. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15217, USA
 3. 5960 Millrace Court B303, Columbia, MD, 21045, USA
Continue reading...
To view the rest of this content please follow the download PDF link above.