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CAT(0) metrics on contractible manifolds

Adiprasito, Karim A....

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CAT(0) metrics on contractible manifolds by Adiprasito, Karim A. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	02-08-2023
Summary	We prove that an open manifold $M$ of dimension at least $5$ which admits a complete CAT(0) polyhedral metric is pseudo-collarable, its fundamental group at infinity is strongly perfectly semistable and has vanishing Chapman-Siebenmann obstruction $\tau_{\infty}(M)$. Moreover, this implies that $M$ is topologically collapsible, when $n\geq 6$. Conversely, any finite dimensional collapsible polyhedron is PL homeomorphic to a CAT(0) cubical complex.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1512.06403

Citation

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AMA 11th EditionReferences

Adiprasito, Karim A.. CAT(0) metrics on contractible manifolds. N.A. August 02, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/11597

APA 7th EditionReferences

Adiprasito, Karim A.. (2023). CAT(0) metrics on contractible manifolds. N.A. https://online.provdatabase.com/cite/11597

Chicago 17th EditionReferences

Adiprasito, Karim A.. CAT(0) metrics on contractible manifolds. N.A. 2023. https://online.provdatabase.com/cite/11597

HarvardReferences

Adiprasito, Karim A.. (2023). CAT(0) metrics on contractible manifolds. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11597. (Accessed 02 October 2025).

Harvard AustraliaReferences

Adiprasito, Karim A., 2023, CAT(0) metrics on contractible manifolds, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/11597>

MLA 9th EditionWorks Cited

Adiprasito, Karim A.. CAT(0) metrics on contractible manifolds. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/11597.

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