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Revista Integración
Print version ISSN 0120-419X
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.