Semi-terminal continua in Kelley spaces

Prajs, Janusz

doi:10.1090/S0002-9947-2011-04917-2

Semi-terminal continua in Kelley spaces
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Trans. Amer. Math. Soc. 363 (2011), 2803-2820 Request permission

Abstract:

A continuum $K$ in a space $X$ is said to be semi-terminal if at least one out of every two disjoint continua in $X$ intersecting $K$ is contained in $K$. Based on this concept, new structural results on Kelley continua are obtained. In particular, two decomposition theorems for Kelley continua are presented. One of these theorems is an improved version of the aposyndetic decomposition theorem for Kelley continua.

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