Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 30 No. 1 (2012): Revista Integración, temas de matemáticas
Research and Innovation Articles

g-contractible continua

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  • Michael A. Rincon Villamizar
Michael A. Rincon Villamizar
Universidad Industrial de Santander, Escuela de Matemáticas, Bucaramanga, Colombia.

Published 2012-08-21

Keywords

  • continua,
  • contractible,
  • g-contractible,
  • cone,
  • homotopy,
  • uniformly path connected,
  • dendroid
    • ...More
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How to Cite

Rincon Villamizar, M. A. (2012). g-contractible continua. Revista Integración, Temas De matemáticas, 30(1), 43–55. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2701

Abstract

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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