For a filter F, S-F = {infinity} boolean OR {(n, m) : n, m is an element of N} be the F-hedgehog (F-fan) of spininess omega where each (n, m) is isolated in S-F and a basic open neighborhood of infinity is of the form N (phi) = {infinity} boolean OR {(n, m) : n is an element of N, m is an element of phi(n)} for function phi : N -> F. We study some connections among the F*-Menger property and an embedding of F-hedgehog S-F into function spaces for any P -filter F.