Irreducibility in inverse limits of intervals

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1969

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Abstract

This paper is concerned chiefly with inverse limit systems in which each space in the system is an interval, although some of the theorems are proved in a more general setting. It is shown in Theorem 10 that an inverse limit of intervals, with the restriction that all the functions in the inverse limit system involved be the same, is irreducible between some two points. Theorem 11 gives a necessary and sufficient condition for an inverse limit of intervals to be irreducible between each two of some three points.

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