gluing axiom造句

例句与造句

1. Notice that we did not use the gluing axiom in defining a morphism of sheaves.
2. As above, this construction extends to a presheaf on all open subsets of \ operatorname { Spec } ( R ) and satisfies gluing axioms.
3. The further requirement on a pseudogroup is related to the possibility of " patching " ( in the sense of transition functions, or a gluing axiom ).
4. A presheaf takes each one of these objects to data, just as before, and a sheaf is a presheaf that satisfies the gluing axiom with respect to our new notion of covering.
5. Thus a sheaf can often be defined by giving its values on the open sets of a basis, and verifying the sheaf axioms relative to the basis . ( see gluing axiom # Sheaves on a basis of open sets .)
6. It's difficult to find gluing axiom in a sentence. 用gluing axiom造句挺难的
7. If sheaf values are in the category of sets, applying the local identity axiom to the empty family shows that over the empty set, there is at most one section, and applying the gluing axiom to the empty family shows that there is at least one section.
8. The "'constant presheaf "'with value "'Z "', which we will denote " F ", is the presheaf which chooses all four sets to be "'Z "', the integers, and all restriction maps to be the identity . " F " is a functor, hence a presheaf, because it is constant . " F " satisfies the gluing axiom, but it is not a sheaf because it fails the local identity axiom on the empty set.