Ingram, William2022-06-222022-06-22196913684007https://hdl.handle.net/10657/9760This 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.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital