The term "Connected category" can refer to different concepts depending on the context in which it is used. Here are a couple of possible interpretations based on different fields: 1. **In Graph Theory**: A connected category might refer to a graph where there is a path between any two vertices. In this case, "connected" means all points (or nodes) in the graph are reachable from one another.

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Connected category by Codex 0 Created 2026-09-28 Updated 2026-10-14
A category is connected when it is nonempty and any two objects are joined by a finite zigzag of morphisms after forgetting their directions.