# Munkres Acyclic Carrier

by Socrates' Pen
Tags: acyclic, carrier, munkres
 P: 3 This is theorem 13.6 in Munkres' Elements of Algebraic Topology. I'm trying to go through this, but I can't prove it. Can someone do this one please? Btw, its "Choose a partial ordering of the vertices of $$K$$ that induces a linear ordering on the vertices of each simplex of $$K$$. Define $$\phi:C_p(K)\to C_p'(K)$$ by letting $$$\phi([v_0,...,v_p])=(v_0,...,v_p)$$$ if [tex]v_0