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47 sonuçtan 1-3 arası sonuçlar
Sayfa 529
Let Lk ( v ) be the algebraic number of the fixed points , i . e . , Lk ( v ) = { € ( p ) ,
where e ( p ) = + 1 is the index of a fixed point p . We easily prove the following
formula : ( 98 ) N1 ( - v ) = 5 Lk ( v ) tk . k > 1 The proposition below implies that Sn
...
Let Lk ( v ) be the algebraic number of the fixed points , i . e . , Lk ( v ) = { € ( p ) ,
where e ( p ) = + 1 is the index of a fixed point p . We easily prove the following
formula : ( 98 ) N1 ( - v ) = 5 Lk ( v ) tk . k > 1 The proposition below implies that Sn
...
Sayfa 532
We denote by I ( Sw ) the sum of the indices of all fixed points of Sw . Then , by
definition , ( 110 ) Lk ( w ) = I ( Sw ) . Thus , for such f - gradients w , the
computation of the number Lk ( w ) reduces to the computation of the fixed point
indices of ...
We denote by I ( Sw ) the sum of the indices of all fixed points of Sw . Then , by
definition , ( 110 ) Lk ( w ) = I ( Sw ) . Thus , for such f - gradients w , the
computation of the number Lk ( w ) reduces to the computation of the fixed point
indices of ...
Sayfa 533
... are homotopic via a homotopy Ht : Dx ( p ) → Br ( p ) such that for each t the set
of fixed points of H + is compact and is contained in Dx / 2 ( p ) . Then identity (
112 ) is true by the homotopy invariance of the fixed point index ( see ( D , 5 . 8 ] )
.
... are homotopic via a homotopy Ht : Dx ( p ) → Br ( p ) such that for each t the set
of fixed points of H + is compact and is contained in Dx / 2 ( p ) . Then identity (
112 ) is true by the homotopy invariance of the fixed point index ( see ( D , 5 . 8 ] )
.
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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