A Topological Proof of a Theorem of Kneser
A Topological Proof of a Theorem of Kneser
We give an elementary topological proof that the orthogonal groups 0(2) and 0(3) are strong deformation retracts of the space of homeomorphisms (with the compact-open topology) of R2 and S2, respectively.We also deform the space of bounded homeomorphisms of R-to S1.A well-known theorem of Kneser [6] says that the orthogonal …