Publications by Irina Gelbukh

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Journal papers

1. An indicator of the noncompactness of a foliation on M2g - Russian
   An indicator of the noncompactness of a foliation on M2g - English
2. A test for non-compactness of the foliation of a Morse form - Russian
   A test for non-compactness of the foliation of a Morse form - English
3. A test for compactness of a foliation - Russian
   A test for compactness of a foliation - English
4. Singular points of a Morsian form and foliations - Russian
   Please let me know if you have the English text of this paper
5. Properties of Morse forms that determine compact foliations on M2g - English
   Properties of Morse forms that determine compact foliations on M2g - Russian
6. Noncompact leaves of foliations of Morse forms - English
   Noncompact leaves of foliations of Morse forms - Russian
7. Maximal isotropic subspaces of skew-symmetric bilinear mapping - Russian
   Please let me know if you have the English text of this paper
8. Presence of minimal components in a Morse form foliation
9. On the structure of a Morse form foliation
10. Number of minimal components and homologically independent compact leaves for a Morse form foliation
11. Ranks of collinear Morse forms
12. On compact leaves of a Morse form foliation
13. On collinear closed one-forms
14. Structure of a Morse form foliation on a closed surface in terms of genus
15. Close cohomologous Morse forms with compact leaves
16. The number of split points of a Morse form
17. The number of minimal components and homologically independent compact leaves
18. Co-rank and Betti number of a group
19. The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations
20. Isotropy index for the connected sum and the direct product of manifolds
21. Sufficient conditions for the compactifiability of a closed one-form foliation
22. Loops in Reeb graphs of n-manifolds
23. Compact and locally dense leaves of a closed one-form foliation
24. Approximation of Metric Spaces by Reeb Graphs: Cycle Rank of a Reeb Graph, the Co-rank of the Fundamental Group, and Large Components of Level Sets on Riemannian Manifolds
25. A Finite Graph is Homeomorphic to The Reeb Graph of a Morse–Bott Function
26. Morse–Bott functions with two critical values on a surface

Other publications

1. Compact foliations of Morse Forms
2. Rank of a maximal subgroup in H1_M_Z with trivial cup-product