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The spectrum of simplicial volume of non-compact manifolds

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We show that, in dimension at least 4, the set of locally finite simplicial volumes of oriented connected open manifolds is $$[0,\infty ]$$ [ 0 , ∞ ] . Moreover, we consider… Click to show full abstract

We show that, in dimension at least 4, the set of locally finite simplicial volumes of oriented connected open manifolds is $$[0,\infty ]$$ [ 0 , ∞ ] . Moreover, we consider the case of tame open manifolds and some low-dimensional examples.

Keywords: compact manifolds; spectrum simplicial; simplicial volume; volume non; non compact

Journal Title: Geometriae Dedicata
Year Published: 2021

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