A continuum is a non-degenerate connected compact metric space. Let X and Y be continua such that X ⇥ Y is unicoherent. An element (p,q) 2 X ⇥ Y makes a hole in X ⇥Y if (X ⇥Y ){ (p,q)} is not unicoherent. In this paper, ...

In this paper, we study inverse limits with one upper semi-continuous function which is the union of mappings. Using the concept of Dom(F), we give sufficient conditions so that, the inverse limit is either a continuum or a ...

Let X be a continuum and n ∈ N, F_n(X) denotes the hyperspace of all subsets of X with at most n points. Given m, n ∈ N with m< n, we consider SF_n^m(X) as the quotient space F_n(X)/F_m(X). In this paper we will show that ...

Given a metric continuum X and a positive integer n, Fn(X) denotes the hyperspace of all nonempty subsets of X with at most n points endowed with the Hausdorff metric. For any K ∈ Fn(X), we define Fn(K, X) as the collection ...