Spheres are rare
classification
🧮 math-ph
hep-thmath.MP
keywords
triangulationsspheresgeneralhomologynumberbounddimensiondimensions
read the original abstract
We prove that triangulations of homology spheres in any dimension grow much slower than general triangulations. Our bound states in particular that the number of triangulations of homology spheres in 3 dimensions grows at most like the power 1/3 of the number of general triangulations.
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