English Explanatory Dictionary

étale

English dictionary entry

Meanings

adj
  1. Such that the natural homomorphism is an isomorphism.

Word forms

étale etale

Etymology

First applied in a mathematical context (in French) by Alexander Grothendieck to étale morphisms, apparently with reference to the phrase mer étale ("the sea at high or low tide"), the connection being that étale morphisms are, in an intuitive sense, calmly behaved or "spread out."

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