Concerning continua that contain no metric subcontinua

• Autores: Edward D. Tymchatyn, D. Daniel, Murat Tuncali, L.B. Treybig, J. Nikiel
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 745-750
• Idioma: inglés
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• Resumen

  • 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.