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CONVEX HULL REALIZATIONS OF THE MULTIPLIHEDRA
| Content Provider | Semantic Scholar |
|---|---|
| Author | Forcey, Stefan |
| Copyright Year | 2007 |
| Abstract | We present a simple algorithm for determining the extremal points in Eu-clidean space whose convex hull is the n th polytope in the sequence known as the multi-plihedra. This answers the open question of whether the multiplihedra could be realized as convex polytopes. We use this realization to unite the approach to A n-maps of Iwase and Mimura to that of Boardman and Vogt. We include a review of the appearance of the n th multiplihedron for various n in the studies of higher homotopy commutativiy, (weak) n-categories, A ∞-categories, deformation theory, and moduli spaces. We also include suggestions for the use of our realizations in some of these areas as well as in related studies, including enriched category theory and the graph associahedra. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0706.3226v4.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
