Weakly confluent mappings and finitely-generated cohomology

Rogers, James T.

doi:10.1090/S0002-9939-1980-0553390-0

Weakly confluent mappings and finitely-generated cohomology
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Proc. Amer. Math. Soc. 78 (1980), 436-438 Request permission

Abstract:

In this paper we answer a question of Wayne Lewis by proving that if X is a one-dimensional, hereditarily indecomposable continuum and if ${H^1}(X)$ is finitely generated, then $C(X)$, the hyperspace of subcontinua of X, has dimension 2.

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