4 problems
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The uniqueness conjecture for PD models without simple connectedness
Let be a PDGA whose cohomology is connected and simply-connected, and let and be connected and simply-connected PD models of . A PD model is a Poincaré…
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The configuration-space model conjecture for simply connected closed manifolds
Let be a simply connected closed -dimensional manifold, let be a Poincaré-duality model for , and let be the ordered configuration space of points in…
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Quantitative nullhomotopy conjecture via Sullivan-model depth
Let have dimension at most , let be simply connected, and let be nullhomotopic with Lipschitz constant at most . Let … be a filtration of the indecomposabl…
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The algebraic H-conjecture for elliptic Sullivan minimal algebras
Let be an elliptic Sullivan minimal algebra, so its cohomology and generating graded vector space are finite-dimensional. The algebraic H-conjecture. One has … This…