Large free set
Lelek fan from a projective Fraïssé limit
We show that a natural quotient of the projective Fraïssé limit of a family that consists of finite rooted trees is the Lelek fan. Using this construction, we study properties of the Lelek fan and of its homeomorphism group. We show that the Lelek fan is projectively universal and projectively ultrahomogeneous in the class of smooth fans. We further show that the homeomorphism group of the Lelek fan is totally disconnected, generated by every neighbourhood of the identity, has a dense conjugacy...
Les images multivoques d'un segment
Limit of approximate inverse system of totally regular continua is totally regular.
Limiting subcontinua and Whitney maps of tree-like continua
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 homeomorphisms onto tree-like continua
Locally connected curves viewed as inverse limits
Locally connected images of ordered compacta
Locally one-to-one mappings on graphs
Locally starlike decompositions of separable metric spaces