Variable Dimension Complexes, Part II: An Unified Approach to Some Combinatorial Lemmas in Topology (Classic Reprint) - Softcover

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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}. Xzé 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.

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