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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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DOI

10.1006/ffta.2001.0331

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1573-9376

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Homotopic types of right stabilizers and orbits of

Authors: S I Maksimenko
Publish Date: 2013/02/10
Volume: 64, Issue: 9, Pages: 1350-1369
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Abstract

Let M be a connected smooth compact surface and let P be either the number line mathbbR or a circle S 1 For a subset X ⊂ M by mathcalD M X we denote a group of diffeomorphisms of M fixed on X We consider a special class mathcalF of smooth mappings fM → P with isolated singularities containing all Morse mappings For each mapping f ∈ mathcalF we consider certain submanifolds X ⊂ M “adapted” to f in a natural way and study the right action of the group mathcalD M X on C ∞ M P The main results of the paper describe the homotopic types of the connected components of stabilizers mathcalS f and the orbits mathcalO f of all mappings f ∈ mathcalF and generalize the results of the author in this field obtained earlier

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Other Papers In This Journal:
  1. Groups with the Same Prime Graph as the Simple Group D n (5)
  2. Localization of eigenvalues of polynomial matrices
  3. On the Sum of Narrow and Finite-Rank Orthogonally Additive Operators
  4. Investigation of one convective Stefan problem by the Ritz method
  5. Generalized Twisted Kloosterman Sum Over ℤ [ i ]
  6. On generalization of ⊕-cofinitely supplemented modules
  7. Characterization of $ {\mathbb{A}_{16}} $ by a noncommuting graph
  8. Construction of continuous cocycles for the bicrossed product of locally compact groups
  9. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0
  10. Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs
  11. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
  12. Normally solvable operator equations in a Banach space
  13. On the Estimation of Strong Means of Fourier Series
  14. Generalizations of ⊕ -supplemented modules
  15. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations
  16. On the Optimal Recovery of Integrals of Set-Valued Functions
  17. On the theory of $ \mathcal{P}\mathcal{T} $-symmetric operators
  18. 2-Simple ore domains of stable rank 1
  19. Averaging of Impulsive Differential Inclusions with Fuzzy Right-Hand Sides
  20. On some qualitative properties of monotone linear extensions of dynamical systems
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