closed immersion
A morphism of schemes is a closed immersion if:
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1.
As a map of topological spaces, is a homeomorphism from into a closed subset of , and
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2.
the morphism of sheaves associated with is an epimorphism (http://planetmath.org/AbelianCategory) in the category of sheaves.
This notion is the analog of the notion of closed immersion (http://planetmath.org/Immersion) in the category of differential manifolds.
Title | closed immersion |
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Canonical name | ClosedImmersion |
Date of creation | 2013-03-22 12:50:21 |
Last modified on | 2013-03-22 12:50:21 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 6 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 14A15 |