étale morphism (submersion, immersion)
generally in differential cohesion
reduction modality⊣\dashv infinitesimal shape modality
formally étale (formally smooth, formally unramified)
étale topos
étale homotopy
étale cohomology
étale ∞-groupoid
in topology
local homeomorphism, étale space
étale groupoid
in differential geometry
local diffeomorphism, (submersion, immersion of smooth manifolds)
étale Lie groupoid
in algebraic geometry
étale morphism of schemes, formally étale morphism of schemes
étale site, pro-étale site, étale (∞,1)-site
Deligne-Mumford stack
ℓ-adic cohomology
There are several concepts of an immersion, depending on the category of spaces. The most basic ones are
closed/open immersion of schemes
immersion of smooth manifolds
Riemannian immersion (isometric immersion)
Last revised on May 15, 2024 at 15:17:36. See the history of this page for a list of all contributions to it.