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Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
1
answer
419
views
Detecting a PL sphere and decompositions
Question 1. A PL $n$-sphere is a pure simplicial complex that is a triangulation of the $n$-sphere. I'm looking for a computer algorithm that gives a Yes/No answer to whether a given simplicial comple …
8
votes
2
answers
495
views
Contractible Rips complex from non-hyperbolic group
I heard that the Rips complexes associated to the Cayley graphs of hyperbolic groups are contractible for a sufficiently large radius. Is the converse true? Namely, if a group is non-hyperbolic, then …