13 citations · 26 across the 7 of their papers we have counts for
5 papers · 1 filter
Tangency vis-a'-vis differentiability by Peano, Severi and Guareschi
Szymon Dolecki, Gabriele H. Greco
Peano defined 'differentiability' of functions and 'lower tangent cones' in 1887, and 'upper tangent cones' in 1903, but uses the latter concept already in 1887 without giving a fo…
Towards historical roots of necessary conditions of optimality. Regula of Peano
Szymon Dolecki, Gabriele H. Greco
At the end of 19th century Peano discerned vector spaces, differentiability, convex sets, limits of families of sets, tangent cones, and many other concepts, in a modern perfect fo…
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…