Glasnik matematički, Vol. 35 No. 2, 2000.
Izvorni znanstveni članak
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
Datum izdavanja:
1.12.2000.
Posjeta: 824 *