engleski

Extension dimension of inverse limits

Generalizing a classical result of K. Nagami from 1959, L.R. Rubin and P.J. Schapiro proved in 1999 that the property of spaces that their extension dimension is dominated by a given polyhedron is preserved under limits of inverse sequences of metric spaces. In the paper this result is generalized to inverse sequences of stratifiable spaces, using a new technique, because the Rubin-Schapiro technique applies only to spaces satisfying the first axiom of countability.

extension dimension; inverse limit; stratifiable space

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