Abstract:
The goal of this paper is to give a modified exposition of the main part of the proof of the local contractibility theorem. The derivation of general theorems from the special case of Euclidean space remains intact. The exposition is rather detailed and is aimed, in particular, at correcting an inaccuracy in the original proof.
Citation:
A. V. Chernavskii, “Local Contractibility of the Homeomorphism Group of $\mathbb R^n$”, Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 263, MAIK Nauka/Interperiodica, Moscow, 2008, 201–215; Proc. Steklov Inst. Math., 263 (2008), 189–203