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An Introduction to Category Theory
web.stanford.eduGraphs is the category of graphs and graph homomorphisms. Vect k is the category of vector spaces over a eld kand k-linear transformations. Mod R is the category of modules over a ring Rand R-module homomorphisms. Top is the category of topological spaces and continuous mappings. One of the most important examples of a category is a poset (a partially ordered set).