On topological factors of 3 dimensional locally connected continuum embeddable in
On topological types of the simplest indecomposable continua
On two theorems of Dyer
On σ-connected spaces
On ω-essential mappings onto manifolds
One dimensional locally setwise homogeneous continua
One-dimensional n-leaved continua
One-to-one continuous images of a line
Open, confluent and related mappings on generalized graphs
Open maps between Knaster continua
We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
Ordered group invariants for one-dimensional spaces
We show that the Bruschlinsky group with the winding order is a homomorphism invariant for a class of one-dimensional inverse limit spaces. In particular we show that if a presentation of an inverse limit space satisfies the Simplicity Condition, then the Bruschlinsky group with the winding order of the inverse limit space is a dimension group and is a quotient of the dimension group with the standard order of the adjacency matrices associated with the presentation.