Excerpt from Variable Dimension Complexes, Part II: An Unified Approach to Some Combinatorial Lemmas in Topology We first examine B. B, since contains only one O-simplex. Suppose Q x Then L(x) Tx and x 6 Let Tx {1, m}. Xze a'a(tx) implies that there is an i, 15 is n, such that vi 0 for all V x. Thus i.f L(x), since is proper. But then L(x) Tx, contradicting the definition of B. Therefore x: [ B. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.