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A note on a result by M. Bognár concerning the Hahn--Mazurkiewicz Theorem |
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| Authors: | T Fernández A Quintero |
| Institution: | (1) C.G.A. (Centro de Gestión Avanzada), Consejería de Educación, Junta De Andalucía, Edificio Torretriana\\ 41071 Sevilla\\ Spain;(2) Dpto. de Geometría y Topología, Facultad de Matemáticas, Universidad De Sevilla, Apartado 1160, 41080 Sevilla, Spain |
| Abstract: | Summary In this note we use Theorem 2.4 in<span lang=EN-US style='font-size:10.0pt;mso-ansi-language:EN-US'>1]to give a very short proof of a recent result due to M. Bognár (Theorem A in 3]). We also prove that Bognár's result is in fact equivalent to the classical Hahn-Mazurkiewicz Theorem. Finally we give generalizations in the non-compact setting. |
| Keywords: | continuous map proper map Freudenthal end (generalized) (Peano) continuum |
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