Abstract

ANAYA, José G.; MAYA, David  and  FUENTES-MONTES DE OCA, Alejandro. Review of the search for holes. Integración - UIS [online]. 2018, vol.36, n.2, pp.101-116. ISSN 0120-419X.  https://doi.org/10.18273/revint.v36n2-2018003.

A connected topological space Z is unicoherent provided that if Z = A ∪ B, where A and B are closed connected subsets of Z, then A ∩ B is connected. Let Z be a unicoherent space: we say that z ∈ Z makes a hole in Z if Z - {z} is not unicoherent. A problem of recent study is: given a topological space unicoherent H(Z), obtained from a topological space Z, which elements A ∈ H(Z) makes a hole? This work consists in giving a review of the results known to date of this problem.

Keywords : Continuum; hyperspaces; property b); unicoherence; cone; suspension.

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