On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor

R. Ayala; M. Chávez; A. Quintero

ArticleOriginal scientific text

Title

On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor

Authors ¹, ¹, ²

Affiliations

Departamento de Matemática Aplicada I, Escuela Universitaria de Arquitectura Técnica, Universidad de Sevilla Avda., Reina Mercedes s/n, 41012-Sevilla Spain
Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado 1160, 41080-Sevilla, Spain

Abstract

We extend a theorem of S. Claytor in order to characterize the Peano generalized continua which are embeddable into the 2-sphere. We also give a characterization of the Peano generalized continua which admit closed embeddings in the Euclidean plane.

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Title

On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor

Affiliations

Abstract

Bibliography