engleski

Infinite-dimensionality of inverse limit space

Among other results we prove: (I) If f:X-Y is a closed surjection between normal countably compact spaces such that \Frf-l(y)\<k, then a weak infinite-dimensionality of X implies a weak infinite-dimensionality of Y ; (2) If X is a limit of noramal countabfy compact strongly infinite-dimensional spaces and closed bonding mappings f_(ab) such that \Fr f-lab(xa)\<k, then X is countabfy compact and strongly infinite-dimensional.

Infinite-dimensionality; Cantor-manifold; inverse system.

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