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## Smart answer:

After reading 3226 websites, we found 4 different results for *"What is galois connection"*

a particular correspondence (typically) between two partially ordered sets ( posets)

In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets).

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a pair of adjoint functors between two categories

A Galois connection is then nothing but a pair of adjoint functors between two categories that arise from partially ordered sets.

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In mathematics especially in order theory

In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets).

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between field theory and group theory

Galois theory provides a connection between field theory and group theory.

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