Local cohomology and the connectedness dimension in algebraic varieties.
Local connectivity and maps onto non-metrizable arcs.
Local connectivity, open homogeneity and hyperspaces.
In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains...
Local convexity in topological lattices
Local homeomorphisms and related mappings on graphs
Local homeomorphisms onto tree-like continua
Locally bounded topologies on the rational field
Locally compact spaces C-tame at infinity.
Locally Compact Spaces ℓ-Tame At Infinity
Locally connected curves viewed as inverse limits
Locally connected images of ordered compacta
Locally constant functions
Let X be a compact Hausdorff space and M a metric space. is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which is all of C(X,M). These include βℕ, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case where M is a Banach space, we discuss the properties of as a normed linear space. We also build three first countable Eberlein...
Locally one-to-one mappings on graphs
Locally Sierpinski Quotients.
Locally starlike decompositions of separable metric spaces
Locally weakly confluent mappings on hereditarily locally connected continua
Locally well-behaved paracompacta in shape theory
L-space without any uncountable 0-dimensiolan subspace
Making holes in the cone, suspension and hyperspaces of some continua
A connected topological space is unicoherent provided that if where and are closed connected subsets of , then is connected. Let be a unicoherent space, we say that makes a hole in if is not unicoherent. In this work the elements that make a hole to the cone and the suspension of a metric space are characterized. We apply this to give the classification of the elements of hyperspaces of some continua that make them hole.
Mapping an arc onto a dendritic continuum