منابع مشابه
Global Hyperbolicity of Sliced Spaces
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A new concept analogous to global hyperbolicity is introduced, based on test fields. It is shown that the space-times termed here " curve integrable " are globally hyperbolic in this new sense, and a plausibility argument is given suggesting that the result applies to shell crossing singularities. If the assumptions behind this last argument are valid, this provides an alternative route to the ...
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We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces satisfying the qi-embedded condition. This implies the same result for inclusion of vertex (or edge) subgroups in finite graphs of (strongly) relatively hyperbolic groups. This generalises a result of Bowditch for punctured su...
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IN THIS paper we consider the following question: for how singular a space is it possible to define cobordism invariant characteristic numbers? This question was one of the motivations behind the development of intersection homology: there are many singular spaces (complex algebraic varieties, for example) for which Whitney [40], Chern [28], and L [ 1 S] classes can be defined, but these are ho...
متن کاملRelative Hyperbolicity, Trees of Spaces and Cannon-thurston Maps
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces. The result follows for finite graphs of (strongly) relatively hyperbolic groups. This generalises a result of Bowditch for punctured surfaces in 3 manifolds. AMS subject classification = 20F32(Primary), 57M50(Secondary)
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ژورنال
عنوان ژورنال: Journal de l’École polytechnique — Mathématiques
سال: 2019
ISSN: 2270-518X
DOI: 10.5802/jep.85