Abstract
We show that if Y Y is a continuum irreducible from a a to b b , which is connected im Kleinen and first countable at b b , and if X = Y − { b } X = Y - \{ b\} , then β X − X \beta X - X is an indecomposable continuum. Examples are given showing that both first countability and connectedness im Kleinen are needed here. We also show that β [ 0 , 1 ) − [ 0 , 1 ) \beta [0,1) - [0,1) has a strong near-homogeneity property.
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