11 citations · 45 across the 18 of their papers we have counts for
6 papers · 1 filter
Core compactness and diagonality in spaces of open sets
Francis Jordan, Frederic Mynard
We investigate when the space of open subsets of a topological space endowed with the Scott topology is core compact. Such conditions turn out to be related to i…
Products of compact filters and applications to classical product theorems
F. Mynard
Two results on product of compact filters are shown to be the common principle behind a surprisingly large number of theorems.
Relations that preserve compact filters
F. Mynard
Many classes of maps are characterized as (possibly multi-valued) maps preserving particular types of compact filters.
Group topologies coarser than the Isbell topology
S. Dolecki, F. Jordan, F. Mynard
The Isbell, compact-open and point-open topologies on the set of continuous real-valued maps can be represented as the dual topologies with respect to some collec…
When is the {I}sbell topology a group topology?
S. Dolecki, F. Mynard
Conditions on a topological space under which the space of continuous real-valued maps with the Isbell topology is a topological group (topological vector…
A unified theory of function spaces and hyperspaces: local properties
S. Dolecki, F. Mynard
Many classically used function space structures (including the topology of pointwise convergence, the compact-open topology, the Isbell topology and the continuous convergence) are…