We apply visualization to evaluating a new topological equivalence relation, which we call the topological B+ -equivalence. It has been used in our separate, yet ongoing, study in mathematics. The equivalence is a building block for the topological study of maps of bounded manifolds into the plane (aka bounded bivariate fields). In that study, we have introduced a few invariants that approximate the equivalence, which is hard to treat directly. In this chapter dedicated to the visualization community, we show that visualizing the Reeb space gives us a near-instant way of evaluating the invariants. The process has traditionally required an unpredictable amount of time due to manual analysis of high-order polynomials, which was necessary to obtain the invariant values. Our Reeb space visualization reveals the topological information necessary for evaluating the invariants, and, in doing so, the topological B+ -equivalence itself. Previously, the visualization was found to serve as an introductory learning tool for studying examples of singular fibers. The present article goes further to demonstrate professional use cases.