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Artículo
A Hahn-Mazurkiewicz Theorem for generalized Peano continua
Autor/es | Ayala Gómez, Rafael
Chávez de Diego, María José Quintero Toscano, Antonio Rafael |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 1998 |
Fecha de depósito | 2024-10-01 |
Publicado en |
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Resumen | S. Mazurkiewicz remarked after his proof of the celebrated HahnMazurkiewicz Theorem ([5]) that any generalized Peano continuum is the continuous
image of the half-line 0; 1 but the converse does not hold. Therefore ... S. Mazurkiewicz remarked after his proof of the celebrated HahnMazurkiewicz Theorem ([5]) that any generalized Peano continuum is the continuous image of the half-line 0; 1 but the converse does not hold. Therefore continuous images of 0; 1 do not characterize generalized Peano continua. In this paper we use perfect maps and trees to obtain an analogue of the Hahn-Mazurkiewicz Theorem for generalized Peano continua in the spirit of the classical Hahn-Mazurkiewicz Theorem. |
Cita | Ayala Gómez, R., Chávez de Diego, M.J. y Quintero Toscano, A.R. (1998). A Hahn-Mazurkiewicz Theorem for generalized Peano continua. Archiv Der Mathematik, 71 (4), 325-330. https://doi.org/10.1007/s000130050271. |
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