  A simple proof of Atanassov's Conjecture is presented. Atanassov's Conjecture
is a generalization of Sperner's Lemma, a lemma which has been used to prove
Brouwer's Fixed Point Theorem, among other fixed point theorems. The proof of
Atanassov's Conjecture is based on the Brouwer Degree of maps and is extremely
elementary. It is much simpler than the original proofs given for the
conjecture and provides some insight into the nature of the conjecture.
Furthermore, a generalization of the conjecture is presented and finally a new
theorem, similar to the original Sperner Lemma, is proved.
