Associahedron, cyclohedron and permutohedron as compactifications of configuration spaces

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dc.contributor.author Lambrechts, Pascal
dc.contributor.author Turchin, Victor
dc.contributor.author Volic, Ismar
dc.date.accessioned 2011-06-30T16:17:06Z
dc.date.available 2011-06-30T16:17:06Z
dc.date.issued 2011-06-30
dc.identifier.uri http://hdl.handle.net/2097/9960
dc.description.abstract As in the case of the associahedron and cyclohedron, the permutohedron can also be defined as an appropriate compactification of a configuration space of points on an interval or on a circle. The construction of the compactification endows the permutohedron with a projection to the cyclohedron, and the cyclohedron with a projection to the associahedron. We show that the preimages of any point via these projections might not be homeomorphic to (a cell decomposition of) a disk, but are still contractible. We briefly explain an application of this result to the study of knot spaces from the point of view of the Goodwillie-Weiss manifold calculus. en_US
dc.relation.uri http://projecteuclid.org/euclid.bbms/1274896208 en_US
dc.rights Permission granted by Jan Van Casteren, Secretary, Belgian Mathematical Society, June 22, 2011. en_US
dc.subject Polytopes en_US
dc.subject Cyclohedron en_US
dc.subject Associahedron en_US
dc.subject Homotopy limit en_US
dc.title Associahedron, cyclohedron and permutohedron as compactifications of configuration spaces en_US
dc.type Article (publisher version) en_US
dc.date.published 2010 en_US
dc.citation.epage 332 en_US
dc.citation.issue 2 en_US
dc.citation.jtitle Bulletin of the Belgian Mathematical Society – Simon Stevin en_US
dc.citation.spage 303 en_US
dc.citation.volume 17 en_US
dc.contributor.authoreid turchin en_US

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