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Questions tagged [category-theory]

Categories are structures containing objects and arrows between them. Many mathematical structures can be viewed as objects of a category, with structure preserving morphisms as arrows. Reformulating properties of mathematical objects in the general language of category can help one see connections between seemingly different areas of mathematics.

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A diagram with triangles and squares commute $\iff$ all triangle and square subdiagram commute

Intuitively, I want to show that if a commutative diagram is composed of only squares and triangles, then it commutes if and only if all squares and triangles sub-diagram commute, this is asked in ...
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