Abstract

LOPEZ, MARÍA DE JESÚS  and  RAMIREZ MARQUEZ, EMANUEL. On the second symmetric product of indecomposable chainable continua. Integración - UIS [online]. 2016, vol.34, n.2, pp.139-146. ISSN 0120-419X.  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.

Keywords : Continuum; chainable; indecomposable; hyperspaces; second symmetric product.

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