"space" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Since a general algebraic space does not satisfy this requirement, it allows a single connected component of U to cover X with many "sheets".
- With these definitions, the algebraic spaces form a category.
- Non-singular algebraic spaces of dimension two (smooth surfaces) are schemes.
- Group objects in the category of algebraic spaces over a field are schemes.
- Not every non-singular 3-dimensional algebraic space is a scheme.
- Thus algebraic spaces are in a sense "close" to affine schemes.
- All algebraic spaces are of finite type over a locally Noetherian base.
- There are further generalizations called algebraic spaces and stacks.
- The algebraic dual space is defined for all vector spaces.
- The converse is true in the setting of algebraic spaces.
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