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arxiv: 1005.0424 · v1 · pith:XPBMWTUHnew · submitted 2010-05-04 · 🧮 math.GT

On macroscopic dimension of rationally essential manifolds

classification 🧮 math.GT
keywords dimensionessentialmacroscopicmanifoldsrationallyciteconjectureconstruct
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We construct a counterexamples in dimensions $n>3$ to Gromov's conjecture \cite{Gr1} that the macroscopic dimension of rationally essential $n$-dimensional manifolds equals $n$.

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