-movable and -calm compacta and their images
-continuous mappings and their decomposition.
-continuous functions.
1/2-Homogeneous hyperspace suspensions
We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
3-dimensional AR's which do not contain 2-dimensional ANR's
A 3-dimensional absolute retract which does not contain any disk
A 3-dimensional irreducible compact absolute retract which contains no disc
A Bing-Borsuk retract which contains a 2-dimensional absolute retract [Book]
A bornological approach to rotundity and smoothness applied to approximation.
A boundary set for the Hilbert cube containing no arcs
A categorical guide to separation, compactness and perfectness.
A categorical proof of the equivalence of local compactness and exponentiability in locale theory
A Certain Class Of Mappings In Topological Spaces
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 closed maps using the Whyburn construction.
A characterization of light open mappings and the existence of group actions