Continuity is an Adjoint Functor
Edward S. Letzter
Abstract
Open-access reader
Edward S. Letzter
Abstract
Open-access reader
We explain how the definition of continuity for functions between topological spaces can be rephrased as an adjointness condition between naturally arising functors.
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We explain how the definition of continuity for functions between topological spaces can be rephrased as an adjointness condition between naturally arising functors.
Key concepts: Functor, Mathematics, Pure mathematics, Topological space, Adjoint functors, Topology (electrical circuits), Algebra over a field, Combinatorics