Then the action of G on N is also Hamiltonian, with moment map the composition of the inclusion map with M's moment map.
12.
As an important example, if is a subset of a cyclically ordered set, and is given its natural ordering, then the inclusion map is an embedding.
13.
This allows us to show that the inclusion map is an isomorphism, as each relative cycle is equivalent to one that avoids " U " entirely.
14.
The subscript star denotes the pushforward ( to be introduced later ), and it is in this special case simply the identity map ( as is the inclusion map ).
15.
Where the subscript star denotes the pushforward of the map, and are vectors in . ( This is in accord with what was detailed about the pullback of the inclusion map.
16.
Similarly, there are strictly cosingular operators whose adjoints are not strictly singular, e . g . the inclusion map I : c _ 0 \ to \ ell _ \ infty.
17.
With this new topology ( R ^ { \ times }, \ cdot ) is a topological group and the inclusion map R ^ { \ times } \ hookrightarrow R is continuous.
18.
An "'embedded submanifold "'( also called a "'regular submanifold "'), is an immersed submanifold for which the inclusion map is a topological embedding.
19.
In this context, the inductive limit topology, or final topology, ? on " X " is the finest locally convex vector space topology making all the inclusion maps \ iota _ i continuous.
20.
Similarly, consider the following commutative diagram ( in this case, let h _ 1 : N \ to A and h _ 2 : f ( N ) \ to B be the respective inclusion maps ):
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