Details:
| Title | Computing the Sullivan Milnor-Moore 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. |
| File |
| | URL |
doi:10.1016/S0166-8641(01)00304-2 |
| Language | English | | Journal | Topology and its Applications | | Volume | 125 | | Number | 3 | | Pages | 581 - 591 | | Year | 2002 | | Month | November | | Translation |
No | | Refereed |
No |
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