pseudocollarable

pseudocollarable

English

Etymology

pseudo- +‎ collarable

Adjective

pseudocollarable (not comparable)

1. (mathematics) This term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
   • 2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv‎:

     Answering a question going back to Gromov, we show that, for an open, polyhedral contractible manifold ${\\displaystyle M}$ of dimension at least ${\\displaystyle 6}$, the following conditions are equivalent: - ${\\displaystyle M}$ admits a geodesically complete CAT(0) metric; - ${\\displaystyle M}$ can be collapsed; - ${\\displaystyle M}$ is pseudocollarable. This yields many new contractible manifolds that admit CAT(0) metrics, and it shows that the CAT(0) property of a contractible manifold is purely determined by a condition at infinity, and shows that contractible manifolds of the Whitehead type can never admit a complete CAT(0) metric.