The Homotopy Type of the Space of Degree 0 — Immersed Plane Curves

  • Hiroki Kodama
  • Peter W. Michor

Résumé

The space Bi = Imm0 (S 1 , R2 )/ Diff (S 1 ) of all immersions of rotation degree 0 0 0 in the plane modulo reparameterizations has homotopy groups 1 (Bi ) = Z, 0 0 2 (Bi ) = Z, and k (Bi ) = 0 for k 3.

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Publié-e
2006-04-27
Comment citer
Kodama H. . y Michor P. W. . (2006). The Homotopy Type of the Space of Degree 0 — Immersed Plane Curves. Revista Matemática Complutense, 19(1), 227-234. https://doi.org/10.5209/rev_REMA.2006.v19.n1.16660
Rubrique
Artículos