In category theory, a **subterminal object** is a specific type of object that generalizes the notion of a "singleton" in a categorical context. To understand it, let's first define a few key concepts: 1. **Category**: A category consists of objects and morphisms (arrows between objects) that satisfy certain properties (closure under composition, associativity, and identity).
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An object is subterminal when its unique morphism to the terminal object is a monomorphism. Equivalently, every object has at most one morphism to . Subterminal objects form the preorder .