chKn

chKn is a fictional, open‑source framework used here to illustrate a compact knowledge-graph approach to knot theory and related areas of topology. It is designed to model concepts, their relationships, and mathematical operations in a form that is easy to query and visualize.

The core of chKn is a graph database that stores nodes representing knots, invariants, representations, and operations, connected by labeled edges such as "is represented by" or "computes". A lightweight inference layer derives implicit relations, and a rendering module generates interactive diagrams.

The project emphasizes modularity and interoperability. Data models are schema-agnostic, allowing extension with new concept types. Language bindings and a minimal API enable read and write access from common programming environments.

Common use cases include educational simulations, research documentation, and interactive textbooks where users explore knot invariants (Alexander, Jones), braid representations, and related topology concepts.

In fictional and educational contexts, chKn is valued for its clarity in illustrating how knowledge graphs can organize mathematical content. As a hypothetical construct, it serves as an example of the potential applications of compact knowledge networks in specialized domains.