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 2010-05-26 en_US
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://doi.org/10.36045/bbms/1274896208 en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). en_US
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
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.doi 10.36045/bbms/1274896208
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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This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Except where otherwise noted, the use of this item is bound by the following: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

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