A formal analogy between proximity and finite dimensionality
A generalisation of almost-compactness, with an associated generalisation of completeness
Atoms in uniformities
Binding spaces: A unified completion and extension theory
Bitopological spaces from quasi-proximities
Categorial refinements and their relation to reflective subcategories
Completely regular proximities and RC-proximities
Concerning a non-realizability of connected compact semi-separated closure operations by set-systems
Concrete refinements of uniform spaces
Cones and proximally fine spaces
Constrained optimization: A general tolerance approach
To overcome the somewhat artificial difficulties in classical optimization theory concerning the existence and stability of minimizers, a new setting of constrained optimization problems (called problems with tolerance) is proposed using given proximity structures to define the neighbourhoods of sets. The infimum and the so-called minimizing filter are then defined by means of level sets created by these neighbourhoods, which also reflects the engineering approach to constrained optimization problems....
-proximity spaces
Dense p-Subspaces of Proximity Spaces.
Doitchinov's Construct of Supertopological Spaces is Topological
It is shown that the construct of supertopological spaces and continuous maps is topological.
Entourage Uniformities for Frames.
Examples of classical and fuzzy Riesz proximities
Examples of fuzzy basic proximities.
Factorization of mappings (products of proximally fine spaces)
Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves
Generalized proximity and uniform spaces. I