A Theory of Adjoint Functors — with some Thoughts about their Philosophical Significance

@inproceedings{Ellerman2005ATO,
  title={A Theory of Adjoint Functors — with some Thoughts about their Philosophical Significance},
  author={David Ellerman},
  year={2005}
}
The question “What is category theory” is approached by focusing on universal mapping properties and adjoint functors. Category theory organizes mathematics using morphisms that transmit structure and determination. Structures of mathematical interest are usually characterized by some universal mapping property so the general thesis is that category theory is about determination through universals. In recent decades, the notion of adjoint functors has moved to center-stage as category theory’s… CONTINUE READING

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