St. Petersburg Mathematical Journal, 14. cilt,1-534. sayfalarAmerican Mathematical Society, 2003 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 499
... complex . One of the basic constructions in the classical Morse theory is the Morse complex . Let g : M → R be a Morse function and v a gradient - like vector field for g . We assume that v satisfies the transversality condition ( i.e. ...
... complex . One of the basic constructions in the classical Morse theory is the Morse complex . Let g : M → R be a Morse function and v a gradient - like vector field for g . We assume that v satisfies the transversality condition ( i.e. ...
Sayfa 505
... complex generated by the critical points of a circle - valued Morse map f : MS1 , and proved that the homology of this complex is isomorphic to the com- pleted homology of the infinite cyclic covering . ( Actually , [ FaR ] contains a ...
... complex generated by the critical points of a circle - valued Morse map f : MS1 , and proved that the homology of this complex is isomorphic to the com- pleted homology of the infinite cyclic covering . ( Actually , [ FaR ] contains a ...
Sayfa 506
... complex Z = Ker 3 . — Since ẞ is a homology equivalence , the complex Z is acyclic ; therefore , there is z € Zk with Oz y . It remains to set x = x0 z , and the proof is complete . = = = - * 2.2 . Filtrations and adjoint complexes ...
... complex Z = Ker 3 . — Since ẞ is a homology equivalence , the complex Z is acyclic ; therefore , there is z € Zk with Oz y . It remains to set x = x0 z , and the proof is complete . = = = - * 2.2 . Filtrations and adjoint complexes ...
İçindekiler
Китаев А В Специальные функции изомонодромного типа ра | 121 |
Набоко С Н Янас Я Критерии полуограниченности в одном | 158 |
Пажитнов А В О замкнутых орбитах градиентных потоков ото | 186 |
Telif Hakkı | |
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A₁ absolutely continuous algebraic algebraic torus American Mathematical Society analytic functions assume Bergman spaces BMO-regular boundary Cayley ring cellular ring chain complex chain homotopy coefficients computation construction converges convex Corollary corresponding cyclic group defined definition deformation denote domain element English transl equation equivalence estimate exists finite formal groups formula homotopy implies inequality integral intersection number inverse isomorphism lattice Lemma linear Math matrix metric Moreover Morse function nontrivial normal notation obtain orientation orthogonal Painlevé equation paper parameters polynomial problem proof of Theorem properties Proposition prove relation respectively S-ring scheme selfadjoint sequence shade number singular smooth solutions space statement subalgebra Subsection subspace Suppose t₁ theory Toeplitz operators torus transformation vector field zero