engleski

Extension dimension of inverse limits

Recently L.R. Rubin and P.J. Shapiro have considered inverse sequences X of metrizable spaces X_i < P, i.e., P el AE(X_i), where P is an arbitrary polyhedron (or CW-complex). They proved that dim X < P, where X = lim X. The present paper generalizes their result to inverse sequences of stratifialble spaces, giving at the same time a more conceptual proof.

inverse limit ; covering dimension ; cohomological dimension ; extension theory ; extension dimension ; metrizable space ; stratifiable space

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