Geodesic
On a Theorem of Sullivan
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 201-206

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this note is to give an elementary geometric proof of the following result stated by Sullivan (see (4)).Theorem 1 (Sullivan). Let K be a finite simplicial complex with vertices v1, ..., vN and corresponding barycentric coordinates b1, ..., bN. Then the algebra of rational PL forms on K 
Penna, Michael A. On a Theorem of Sullivan. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 201-206. doi: 10.4153/CMB-1978-034-3
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[1] 1. Bousfield, A. K., and Gugenheim, V. K. A. M., “On PL de Rham theory and rational homotopy type”, Memoirs of the A.M.S., 8 No. 179 (1976). Google Scholar

[2] 2. Kan, D. M., and Miller, E. Y., “Homotopy types and Sullivan's algebras of 0-forms”, Topology, 16 (1977), pp. 193-197. Google Scholar

[3] 3. Penna, M., “Differential geometry on simplicial spaces”, Transactions of the A.M.S., 214 (1975), pp. 303-323. Google Scholar

[4] 4. Sullivan, D., “Differential forms and the topology of manifolds”, Proceedings of Congress on Manifolds, Tokyo, Japan, 1973, pp. 37-49. Google Scholar

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