Document Outline
Related works
Notation
Main definition
Examples of connectedness
Topological connectedness
Path connectedness and similar
Proximal connectedness
Connectedness regarding a digraph
Weak connectedness
Uniform connectedness
Some basic properties of filters
Uniform triples
Uniform connectedness
Connectors for uniform connectedness
Properties
Extendability
Criteria of connectedness
Connectedness of unions of sets
Links generated by a connector
Relationships of Q (U ; ) and T (U ; )
Future research