Smoothness and the property of Kelley
Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of Kelley at a point and local connectedness are studied in the paper.
Solenoids and inverse limits of sequences of arcs with open bonding maps
Some characterizations of smooth continua.
Some classes of locally connected continua
Some examples of irreducibly confluent mappings
Some functions on hyperspaces of hereditarily unicoherent continua
Some local properties of Suslinian compacta
Some mapping characterizations of unicoherence
Some productive classes of maps which arc related to confluent maps
Some properties of open and related mappings
Some questions on the composition factor property for atomic mappings.
Some topological extensions of plane geometry
Some union theorems for confluent mappings
Spaces of order arcs in hyperspaces
Stationary sets, trees and continuums.
Strongly homotopically stabile points
Subcontinua of inverse limit spaces of unimodal maps
We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal maps as...
Subsets of compacta
Sur la classificaton des continus héréditairment unicohérents
Sur le nombre de côtés d'une sous-variété