English

The spectrum of simplicial volume of non-compact manifolds

Geometric Topology 2020-10-27 v1

Abstract

We show that, in dimension at least 44, the set of locally finite simplicial volumes of oriented connected open manifolds is [0,][0, \infty]. Moreover, we consider the case of tame open manifolds and some low-dimensional examples.

Keywords

Cite

@article{arxiv.2010.12945,
  title  = {The spectrum of simplicial volume of non-compact manifolds},
  author = {Nicolaus Heuer and Clara Loeh},
  journal= {arXiv preprint arXiv:2010.12945},
  year   = {2020}
}

Comments

12 pages, 1 figure