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An indecomposable limit sum

1937
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Bulletin of the American Mathematical Society
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It is the object of this paper to investigate a certain simple monotone sequence of continua. The theorem of the paper states conditions under which the limit sum of the sequence is indecomposable. The precise formulation and proof of the theorem will be undertaken after the following lemma is established. LEMMA. Let K be a plane bounded indecomposable continuum and L a plane bounded continuum such that K-L^O, and that c(L)* includes a particular component X containing the component b of c(L+K)

doi:10.1090/s0002-9904-1937-06626-2
fatcat:z7xpcp6w3vfhvlepienppz3hry