Weak limits of fractional Sobolev homeomorphisms are almost injective

Let Omega subset of R-n be an open set and f(k) is an element of W-s,W-p(Omega; R-n) be a sequence of homeomorphisms weakly converging to f is an element of W-s,W-p(Omega; R-n). It is known that if s = 1 and p > n - 1 then f is injective almost everywhere in the domain and the target. In this note we extend such results to the case s is an element of(0, 1) and sp > n - 1. This in particular applies to C-s-Holder maps.