The homotopy type of the space of degree 0 immersed plane curves.
Hiroki Kodama, Peter W. Michor (2006)
Revista Matemática Complutense
Similarity:
The space B = Imm (S, R) / Diff (S) of all immersions of rotation degree 0 in the plane modulo reparameterizations has homotopy groups π(B ) = Z, π(B ) = Z, and π(B ) = 0 for k ≥ 3.