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http://hdl.handle.net/10662/8984
| Title: | On LS-category of a family of rational elliptic spaces II |
| Authors: | Boutahir, Khalid Rami, Youssef |
| Keywords: | Elliptic spaces;Lusternik-Schnirelman category;Toomer invariant;Espacios elípticos;Categoría Lusternik-Schnirelman;Invariante Toomer |
| Issue Date: | 2016 |
| Publisher: | Universidad de Extremadura |
| Abstract: | Let X be a finite type simply connected rationally elliptic CW-complex with Sullivan minimal model (ɅV; d) and let k ⩾ 2 the biggest integer such that d=∑_(i⩾k)▒dᵢ with d_i(V ) ⊆ Ʌ^iV. If (ɅV; d_k) is moreover elliptic then cat(ɅV, d) = cat(ɅV,d_k) = dim(V^even)(k ⧿ 2) + dim(V^odd). Our work aims to give an almost explicit formula of LS-category of such spaces in the case when k ⩾ 3 and when (ɅV;d_k) is not necessarily elliptic. |
| URI: | http://hdl.handle.net/10662/8984 |
| Appears in Collections: | Extracta Mathematicae Vol. 31, nº 2 (2016) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_31_2_235.pdf | 333,68 kB | Adobe PDF | View/Open |
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