engleski

Some results on the dimension of the inverse limit spaces

In this paper we show various theorems which are partial answers to the question: Let X be a limit space of an inverse system where the spaces X_a, are < n-dimensional (n-dimensional, countable-dimensional, infinite-dimensional). Under what conditions is it true that X is an n-dimensional (countable-dimensional, infinite-dimensional) space? We also show some theorems on the limit space of an inverse system of Cantor-manifolds.

Dimension; inverse limit

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