Connection between set theory and the fixed point property
Constructing means on certain continua and functional equations.
Constructing means on certain continua and functional equations. (Short Communication).
Continua and their non-separating subcontinua [Book]
Continua and their open subsets with connected complements
Continua determined by mappings.
Continua which cannot be mapped onto any nonplaner circle-like continuum
Continua whose connected subsets are arcwise connected
Continua whose hyperspace is a product
Continua whose local homeomorphisms are homeomorphisms
Continua with a connected set of points of indecomposability
Continua with countable number of arc-components
Continua with the periodic-recurrent property.
Continua with unique symmetric product
Let be a metric continuum. Let denote the hyperspace of nonempty subsets of with at most elements. We say that the continuum has unique hyperspace provided that the following implication holds: if is a continuum and is homeomorphic to , then is homeomorphic to . In this paper we prove the following results: (1) if is an indecomposable continuum such that each nondegenerate proper subcontinuum of is an arc, then has unique hyperspace , and (2) let be an arcwise connected...
Continuous decompositions of Peano plane continua into pseudo-arcs
Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.
Continuous images of continua and 1-movability
Continuous images of ordered compacta and hereditarily locally connected continua
Continuous mappings on continua [Book]
Continuous mappings on continua II [Book]
Continuous pseudo-hairy spaces and continuous pseudo-fans
A compact metric space X̃ is said to be a continuous pseudo-hairy space over a compact space X ⊂ X̃ provided there exists an open, monotone retraction such that all fibers are pseudo-arcs and any continuum in X̃ joining two different fibers of r intersects X. A continuum is called a continuous pseudo-fan of a compactum X if there are a point and a family ℱ of pseudo-arcs such that , any subcontinuum of intersecting two different elements of ℱ contains c, and ℱ is homeomorphic to X (with...