On a question of Borsuk concerning non-continuous retracts II
Kenneth Kellum (1976)
Fundamenta Mathematicae
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On a question of Borsuk concerning non-continuous retracts II
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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.
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