Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 34 No. 2 (2016): Revista Integración
Research and Innovation Articles

On the second symmetric product of indecomposable chainable continua

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  • María de Jesús López,
  • Emanuel Ramírez Márquez
María de Jesús López
Benemérita Universidad Autónoma de Puebla
Bio
Emanuel Ramírez Márquez
Benemérita Universidad Autónoma de Puebla
DOI: https://doi.org/10.18273/revint.v34n2-2016003

Published 2016-12-12

Keywords

  • Continuum,
  • chainable,
  • indecomposable,
  • hyperspaces,
  • second symmetric product

How to Cite

López, M. de J., & Ramírez Márquez, E. (2016). On the second symmetric product of indecomposable chainable continua. Revista Integración, Temas De matemáticas, 34(2), 139–146. https://doi.org/10.18273/revint.v34n2-2016003

Abstract

Alejandro Illanes asked if the pseudoarc P has unique second symmetric product F2(P), this is, if X is a continuum such that there is a homeomorphism h : F2(P) → F2(X), then, is X homeomorphic to the pseudoarc ? In this paper we show that if X is an indecomposable chainable continuum and Y is a continuum such that F2(Y ) is homeomorphic to F2(X), then Y is indecomposable.

To cite this article: M. de J. López, E. Ramírez Márquez, Sobre el segundo producto simétrico de continuos indescomponibles y en cadenables, Rev. Integr. Temas Mat. 34 (2016), No. 2, 139-146.

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