On L.S.-category of a family of rational elliptic spaces

2013/10/23 by K. Boutahir, Boutahir, K., Y. Rami +1
Mathematics · #55M30 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55M30 #msc:55P62

paper · pdf · doi:10.48550/arxiv.1310.6247

arxiv created 2013/10/23 · arxiv updated 2013/10/24

Abstract

Let X be a finite type simply connected rationally elliptic CW-complex with Sullivan minimal model (ΛV, d) and let k ≥ 2 the biggest integer such that d=∑ _\underseti≥ kd_i with d_i(V) ⊆ ΛⁱV. In \citemurillo02 the authors showed that if (ΛV,d_k) is morever elliptic then cat(ΛV,d)=(k-2)dimV^even + dimV^odd. Our work focuses on the estimation of L.S.-category of such spaces in the case when k=3 and when (ΛV,d₃) is not necessarily elliptic.

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