Resumen de Concerning continua that contain no metric subcontinua

Edward D. Tymchatyn, D. Daniel, Murat Tuncali, L.B. Treybig, J. Nikiel

• In earlier work the authors raised the following question. Let X denote a locally connected continuum such that X is rim-metric and such that X contains no nondegenerate metric subcontinuum. Is X rim-finite and therefore the continuous image of a compact ordered space? Herein we study this question. In so doing, we obtain analogues of a classical result of Whyburn.