The spectrum of simplicial volume of non-compact manifolds

Authors
Loeh, Clara 

Change log
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.

Publication Date
2021-12
Online Publication Date
2021-09-03
Acceptance Date
2021-08-10
Keywords
math.GT, math.GT, 57N65
Journal Title
Geometriae Dedicata
Journal ISSN
0046-5755
1572-9168
Volume Title
215
Publisher
Springer Science and Business Media LLC
Sponsorship
Deutsche Forschungsgemeinschaft (SFB 1085)