The homotopy type of the space of degree 0 immersed plane curves.
Kodama, Hiroki ; Michor, Peter W.
Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006), p. 227-234 / Harvested from Biblioteca Digital de Matemáticas
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The space Bi 0 = Imm0 (S1, R2) / Diff (S1) of all immersions of rotation degree 0 in the plane modulo reparameterizations has homotopy groups π1(Bi 0) = Z, π2(Bi 0) = Z, and πk(Bi 0) = 0 for k ≥ 3.

Publié le : 2006-01-01
DMLE-ID : 3461 
@article{urn:eudml:doc:40886,
     title = {The homotopy type of the space of degree 0 immersed plane curves.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {19},
     year = {2006},
     pages = {227-234},
     zbl = {1104.58003},
     mrnumber = {MR2219830},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40886}
}

Kodama, Hiroki; Michor, Peter W. The homotopy type of the space of degree 0 immersed plane curves.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 227-234. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40886/