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Foliations on 3-manifolds which are the classifying space of themselves |
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| Authors: | Paulo?Gusm?o mailto:gusmao@mat.uff.br" title=" gusmao@mat.uff.br" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Alberto?Sarmiento |
| Affiliation: | (1) Universidade Federal Fluminense, Instituto de Matemática, Departamento de Análise, Rua Mário Santos Braga s/n Valonguinho, 24020-005 Niterói, RJ, BRASIL;(2) Universidade Federal de Minas Gerais, Departamento de Matemática ICEX, Caixa Postal 702, 30123-970 Belo Horizonte, MG, BRASIL |
| Abstract: | We classify the closed foliated 3-manifolds M, with codimension one foliations of nonexponential growth and which are homotopy equivalent to their classifying space B  . Then we construct arbitrarily  large manifolds with foliations with of any growth type and satisfying  1(M) = 1(B).*Partially supported by CAPES and CNRS |
| Keywords: | Foliations classifying space |
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