The spectrum of simplicial volume of non-compact manifolds

Authors
Loeh, Clara 
DOI
https://doi.org/10.1007/s10711-021-00647-6
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Article
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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
Rights
Attribution 4.0 International Repository logo
Sponsorship
Deutsche Forschungsgemeinschaft (SFB 1085)
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