Meanings
- not comparablemathematicsSuch that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would.
1 more example
Answering a question going back to Gromov, we show that, for an open, polyhedral contractible manifold M of dimension at least 6, the following conditions are equivalent: - M admits a geodesically complete CAT(0) metric; - M can be collapsed; - 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.
2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv
Origin
Cite this entry
pseudocollarable. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/pseudocollarable
“pseudocollarable.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/pseudocollarable. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “pseudocollarable,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/pseudocollarable.
Source: pseudocollarable on Wiktionary, CC BY-SA 4.0.