Simply-connected polyhedra dominate only finitely many different shapes
نویسندگان
چکیده
منابع مشابه
There are only finitely many Diophantine quintuples
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct elements increased by 1 is a perfect square. Diophantus found a set of four positive rationals with the above property. The first Diophantine quadruple was found by Fermat (the set {1, 3, 8, 120}). Baker and Davenport proved that this particular quadruple cannot be extended to a Diophantine quint...
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Bill Thurston wrote a beautiful paper called Shapes of Polyhedra. I once lectured on this paper during a graduate class I taught at the University of Chicago, and recently (Fall 2013) I tried again during my graduate class at ICERM/Brown. I found the paper hard-going both times. In the intervening years, Thurston published an updated and improved version, but I found the new version hard going ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2001
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(00)00004-3