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Extension dimension of inverse limits

Sibe Mardešić

Sažetak

Recently L.R. Rubin and P.J. Schapiro have considered inverse sequences X of metrizable spaces Xi, whose extension dimension dim Xi ≤ P, i.e., P ∈ AE(Xi), 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 stratifiable spaces, giving at the same time a more conceptual proof.

Ključne riječi

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

Hrčak ID:

4882

URI

https://hrcak.srce.hr/4882

Datum izdavanja:

1.12.2000.

Posjeta: 776 *