engleski

Inverse limits of countable-dimensional spaces

In this paper we investigate the countable-dimensionality of the inverse limit spaces. Section One contains theorems concerning the countable-dimensionality of a limit space of an inverse system with closed bonding mappings. In Section Two we give some theorems on countable-dimensionality of a limit of an inverse system with open mapping. Section Three is devoted to the inverse system with d-mappings or with a-reducible mappings.

Countable-dimensional; strongly countable-dimensional; inverse system; inverse limit space

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