The spectrum of simplicial volume of non-compact manifolds

2020/10/24 by Heuer, Nicolaus, Loeh, Clara
#57N65 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2010.12945

Abstract

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

Related

• Transcendental simplicial volumes
• Odd manifolds of small integral simplicial volume
• The spectrum of simplicial volume
• Simplicial volume of compact manifolds with amenable boundary
• The simplicial volume of contractible 3-manifolds