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30 sonuçtan 1-3 arası sonuçlar
Sayfa 228
If M is an oriented manifold with boundary am , we induce an orientation on aM
by requiring that the outward normal vector field of aM in M induce the positive
orientation of the normal bundle of aM in M . 3 . B . The shade of the projective ...
If M is an oriented manifold with boundary am , we induce an orientation on aM
by requiring that the outward normal vector field of aM in M induce the positive
orientation of the normal bundle of aM in M . 3 . B . The shade of the projective ...
Sayfa 234
Let Mand F denote the integer local coefficient systems over M associated with
the orientation bundle of M and the fiber orientation bundle of , respectively .
Then the orientation of E ( F ) gives ( 5 . 1 ) MOF ~ Z , where Z denotes the (
trivialized ) ...
Let Mand F denote the integer local coefficient systems over M associated with
the orientation bundle of M and the fiber orientation bundle of , respectively .
Then the orientation of E ( F ) gives ( 5 . 1 ) MOF ~ Z , where Z denotes the (
trivialized ) ...
Sayfa 243
We choose an orientation of RK . Let v and w be nonzero tangent vectors of RK at
a and b ( respectively ) that are directed along the selected orientation of RK . Let
u be the tangent vector of Rl at a directed inside S . Let w ' be a vector at a that ...
We choose an orientation of RK . Let v and w be nonzero tangent vectors of RK at
a and b ( respectively ) that are directed along the selected orientation of RK . Let
u be the tangent vector of Rl at a directed inside S . Let w ' be a vector at a that ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero