Geometriae Dedicata, 2011 We introduce class A spacetimes, i.e. compact vicious spacetimes $(M,g)$ such that the Abelian cover $(\bar{M},\bar{g})$ is globally hyperbolic. We study the main properties of class A spacetimes using methods similar to the one introduced in D. Sullivan "Cycles for the dynamical study of foliated manifolds and complex manifolds" (Invent. Math.,36, 225-
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Kawon Lee, Jeong-Hyuck Park
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