2015•American Mathematical MonthlyOpen access

Continuity is an Adjoint Functor

Edward S. Letzter

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Abstract

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.

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Available abstract

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

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