Applied General Topology
Universidad Politécnica de Valencia
Volume 4, No. 2, 2003
pp. 391-419
Hyperconvergences
Szymon Dolecki and Frédéric Mynard
The hyperconvergence (upper Kuratowski convergence) is the coarsest
convergence on the set of closed subsets of a convergence space that makes
the canonical evaluation continuous. Sundry reflective and coreflective
properties of hyperconvergences are characterized in terms of the
underlying convergence.