Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 33 No. 1 (2015): Revista Integración, temas de matemáticas
Research and Innovation Articles

On Type θ and θn continua

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  • Sergio Macías
Sergio Macías
Universidad Nacional Autónoma de México. University of Birmingham.

Published 2015-05-21

Keywords

  • Continuous decomposition,
  • continuously irreducible continuum,
  • hyperspace,
  • idempotency,
  • Jones’ set function T,
  • irreducible continuum,
  • symmetric products,
  • type θ continuum,
  • type θn continuum,
  • type A′ θ-continuum,
  • weakly irreducible continuum,
  • Z-set
    • ...More
    Less

How to Cite

Macías, S. (2015). On Type θ and θn continua. Revista Integración, Temas De matemáticas, 33(1), 27–39. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4767

Abstract

In 1974 Professor R. W. FitzGerald defined type θ and θn continua. (A continuum X is of type θ (type θn, for some positive integer n) if for each subcontinuum K of X, we have that X \ K has only a finite number of components (X \ K has at most n components).) Professors E. E. Grace and E. J. Vought continued the study of these clases of continua, when such continua admit an upper semicontinuous monotone decomposition whose quotient space is a graph. The purpose of this work is to present some of the properties of type θ and θn continua, mainly when the decomposition is continuous [14].

To cite this article: S. Macías, Sobre los continuos tipo θ y θn, Rev. Integr. Temas Mat. 33 (2015), no. 1, 27-39.
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