Concerning irreducible continua

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1971

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Abstract

The purpose of this thesis is to investigate the properties of a compact continuum in a Moore space which determine its irreducibility. The main proposition in the first chapter states necessary and sufficient conditions for such irreducibility. The theorem proved in the second chapter is an application of the first result, showing that the inverse limit of an inverse limit sequence in which the factor spaces are irreducible continua is an irreducible continuum.

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