Displaying similar documents to “Limit of approximate inverse system of totally regular continua is totally regular.”

A note on inverse limits of continuous images of arcs.

Ivan Loncar (1999)

Publicacions Matemàtiques

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The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {X, p, A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf (card (A)) ≠ w, then X = lim X is a continuous image of an arc if and only if each proper subsystem {X, p, B} of X with cf(card (B)) = w has the limit which is a continuous image of an arc (Theorem 18).