Glasnik Matematicki, Vol. 35, No.2 (2000), 339-354.
EXTENSION DIMENSION OF INVERSE LIMITS
Department of Mathematics, University of Zagreb, P.O. Box 335,
10002 Zagreb, Croatia
Abstract. Recently L.R. Rubin and P.J. Schapiro
have considered inverse sequences X of metrizable spaces
Xi, whose extension dimension
i.e., P ∈ AE(Xi),
where P is an arbitrary
polyhedron (or CW-complex). They proved that dim X
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.
1991 Mathematics Subject Classification.
54B35, 54C55, 54F45.
Key words and phrases. Inverse limit, covering
dimension, cohomological dimension, extension theory,
extension dimension, metrizable space, stratifiable space.
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