Continuos g-contraíbles

• Rincon Villamizar, Michael A. ^[1]
  1. [1] Universidad Industrial de Santander

     Universidad Industrial de Santander

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 30, Nº. 1, 2012 (Ejemplar dedicado a: Revista Integración), págs. 43-55
• Idioma: español
• Títulos paralelos:
  • g-contractible continua
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Diremos que un continuo X es g-contraíble si existe una función continua y sobre yectivaf: X→X que es homotópica a una función constante. En este artículo hacemos una recopilación de los resultados conocidos acerca de los continuos g-contraíbles. Mostraremos que existe un continuo que no es g-contraíble tal que el producto numerable de él con sí mismo sí lo es. Con esto damos respuesta negativa a un caso particular de la Pregunta 3.2 que propusimos en el artículo “Ong-contractibility of continua”.

  • English

    A continuum X is said to be g-contractible provided that there is a surjective map f: X→X which is homotopic to a constant map. In this article, we will study g-contractible continua. Answering a particular case ofa proposed question in the article“On g-contractibility of continua” [3], we will show that there exists a non-g-contractible continuum X such that its countable product X Nis g-contractible.

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