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math.CT2007★ 3 cited
Adjoint Functors and Heteromorphisms
David Ellerman
Category theory has foundational importance because it provides conceptual lenses to characterize what is important in mathematics. Originally the main lenses were universal mappin…
math.CT2005
A Theory of Adjoint Functors--with some Thoughts about their Philosophical Significance
David Ellerman
The question "What is category theory" is approached by focusing on universal mapping properties and adjoint functors. Category theory organizes mathematics using morphisms that tr…