Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory

DOI10.1007/978-3-319-43674-6_3zbMath1434.57019arXiv1210.6741OpenAlexW1564431826MaRDI QIDQ5112370

Craig R. Guilbault

Publication date: 29 May 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6741

zbMATH Keywords

shapetamemanifoldgroupboundaryendopen collarZ-setfundamental group at infinitypseudo-collarZ-structureZ-boundary

Mathematics Subject Classification ID

Geometric group theory (20F65) Geometric structures on manifolds of high or arbitrary dimension (57N16) Shape theory (55P55) Shapes (aspects of topological manifolds) (57N25)

Related Items

A geometric reverse to the plus construction and some examples of pseudocollars on high-dimensional manifolds, On the mass of static metrics with positive cosmological constant: I, Weak \(\mathcal{Z}\)-structures and one-relator groups, Topological properties of spaces admitting a coaxial homeomorphism, Simply connected 3-manifolds with a dense set of ends of specified genus, Extreme nonuniqueness of end-sum, \( \mathcal{Z} \)-compactifiable manifolds which are not pseudocollarable, Coronas for properly combable spaces, Compactifications of manifolds with boundary, Characterization of pseudo-collarable manifolds with boundary, The double \(n\)-space property for contractible \(n\)-manifolds, On the level set of a function with degenerate minimum point, Noncompact manifolds that are inward tame, Local cut points and splittings of relatively hyperbolic groups, More examples of pseudo-collars on high-dimensional manifolds, Proper homotopy types and \(\mathcal{Z}\)-boundaries of spaces admitting geometric group actions

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