A Formulation of the Kepler Conjecture

Thomas C. Hales () and Samuel P. Ferguson ()
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Thomas C. Hales: University of Pittsburgh, Department of Mathematics

Chapter 4 in The Kepler Conjecture, 2011, pp 83-133 from Springer

Abstract: 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 face-centered 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1129-1_4

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DOI: 10.1007/978-1-4614-1129-1_4

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