Solenoids and inverse limits of sequences of arcs with open bonding maps
Paweł Krupski (1984)
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Paweł Krupski (1984)
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Lee Mohler, Lex Oversteegen (1984)
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Podbrdský, Pavel, Pyrih, Pavel (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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William Mahavier (1967)
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W.T. Ingram (1968)
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Lex Oversteegen, E. Tymchatyn (1984)
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Akira Tominaga (1983)
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J. Rogers (1977)
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A. Lelek (1962)
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A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.