Details:
Title  Computing the Sullivan MilnorMoore S.S. and the rational LS category of certain spaces  Author(s)  Luis Lechuga  Type  Article in Journal  Abstract  Let (ΛV,d) be the Sullivan model of an elliptic space S and (ΛV,dσ) be the associated pure model. We give an algorithm, based on Groebner basis computations, that computes the stage lσ=l0(ΛV,dσ) at which the (Sullivan version of the) Milnor–Moore spectral sequence of (ΛV,dσ) collapses. When (d−dσ)Vsubset ofΛ>lσV we call S a Ginsburg space. We show that the rational LS category of any Ginsburg space S, cat0(ΛV,d), coincides with that of the associated pure space cat0(ΛV,dσ). A previous algorithm due to the author computes cat0(ΛV,dσ). So we obtain an algorithm that determines whether a space is Ginsburg and which in this case computes its rational LS category.  Keywords  rational homotopy, Groebner basis, LS category  Length  11  Copyright  Elsevier Science B.V. 
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 URL 
doi:10.1016/S01668641(01)003042 
Language  English  Journal  Topology and its Applications  Volume  125  Number  3  Pages  581  591  Year  2002  Month  November  Translation 
No  Refereed 
No 
