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Modèle Minimal Équivariant et Formalité

Thierry Lambre
Transactions of the American Mathematical Society
Vol. 327, No. 2 (Oct., 1991), pp. 621-639
DOI: 10.2307/2001817
Stable URL: http://www.jstor.org/stable/2001817
Page Count: 19
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Modèle Minimal Équivariant et Formalité
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Abstract

We study the rational equivariant homotopy type of a topological space X equipped with an action of the group of integers modulo n. For n = pk (p prime, k a positive integer), we build an algebraic model which gives the rational equivariant homotopy type of X. The homotopical fixed-point set appears in the construction of a model of the fixed-points set. In general, this model is different from G. Triantafillou's model [T1]. For n = p (p prime), we then give a notion of equivariant formality. We prove that this notion is equivalent to the formalizability of the inclusion of fixed-points set i: XZp → X. Examples and counterexamples of Zp-formal spaces are given.

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