Operating under a genealogical metric of veridiction, a pathway functions to orient inquiry. It picks out and connects elements in a heterogeneous and dynamic contemporary problem space. It consists of parameters whose function is focus attention on problems, indeterminacy, discordancy, events (episodes) and ramifications. Unlike a recursive series of categories in a diagnostic whose logic and form is analytic, a pathway genealogically reduces historical complexity to a pathconnected set of nodes. 
One way of approaching inquiry is through multiple graphings of topological pathways organized so as to elucidate problems.
In mathematics, a path in a topological space X is a continuous map f from the unit interval I = [0,1] to Xf:I→ X.
The initial point of the path is f(0) and the terminal point is f(1). One often speaks of a "path from x to y" where x and y are the initial and terminal points of the path. Note that a path is not just a subset of X which "looks like" a curve, it also includes a parametrization. For example, the maps f(x) = x and g(x) = x2 represent two different paths from 0 to 1 on the real line.
A topological space for which there exists a path connecting any two points is said to be pathconnected. Any space may be broken up into a set of pathconnected components. The set of pathconnected components of a space X is often denoted π0(X);. 
 a fact or circumstance that restricts how something is done or what can be done;
 a variable value that, when it changes, gives another different but related mathematical expression from a limited series of such expressions



Problems, indeterminacy, discordancy, events (episodes) and ramifications are the parameters we are using to map our pathways.
Using these categories as parametrics has helped us select, order, and connect nodes into pathways.
In anthropology a path in a topological space X is a continuous map f from the unit interval I = [0,1] to X
f: I → X. 