A certain class of maps and fixed point theorems.
A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
A chaotic function with zero topological entropy having a non-perfect attractor
A characteristic property of the algebra .
A characterization of almost continuity and weak continuity
It is well known that a function from a space into a space is continuous if and only if, for every set in the image of the closure of under is a subset of the closure of the image of it. In this paper we characterize almost continuity and weak continuity by proving similar relations for the subsets of .
A characterization of certain branched coverings as group actions
A characterization of chaotic functions with entropy zero via their maximal scrambled sets
In this note we characterize chaotic functions (in the sense of Li and Yorke) with topological entropy zero in terms of the structure of their maximal scrambled sets. In the interim a description of all maximal scrambled sets of these functions is also found.
A characterization of closed maps using the Whyburn construction.
A characterization of Corson-compact spaces
We characterize Corson-compact spaces by means of countable elementary substructures.
A characterization of cubes and spheres [Book]
A characterization of dendroids by the n-connectedness of the Whitney levels
Let X be a continuum. Let C(X) denote the hyperspace of all subcontinua of X. In this paper we prove that the following assertions are equivalent: (a) X is a dendroid, (b) each positive Whitney level in C(X) is 2-connected, and (c) each positive Whitney level in C(X) is ∞-connected (n-connected for each n ≥ 0).
A characterization of finitely irreducible continua
A characterization of fuzzy neighborhood commutative division rings.
A characterization of hereditarily decomposable snake-like continua
A characterization of Hurewicz spaces
A characterization of light open mappings and the existence of group actions
A characterization of local connectedness for generalized continua
A characterization of locally connected continua which are quasi-embeddable into
A characterization of locally connectedness by means of the set function T
A characterization of MAR and MANR-spaces by extendability of mutations