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Repovš, Dušan D.

Repovš, Dušan D.
Professor
PhD (1983)
Birth date: 30.11.1954
E-mail:
Website: https://repovs.splet.arnes.si/
Keywords: Topological group, Hilbert-Smith conjecture, Lie algebra, convexity, Busemann G-space, multivalued map, continuous selection, wild Cantor set, Peano continuum, Q-manifold, Menger manifold, cellularity, upper semicontinuous decomposition, cohomological dimension, homology manifold, acyclic resolution, Euclidean neighborhood retract, general position property, 3-manifold recognition, link invariant, 4-manifold classification, epsilon surgery, Poincaré complex, elliptic partial differential equation
UDC: 512.572
MSC: 22, 35, 54, 55, 57

Subject:

Pure and Applied Mathematics

Biography

1996 Elected to the Slovenian Academy of Engineering

1998 Elected to the New York Academy of Sciences

2004 Elected to the European Academy of Sciences

2017 Elected to the European Academy of Sciences and Arts

2022 Elected to the Accademia Peloritana dei Pericolanti

   
Main publications:
  1. D.D. Repovš, P.V. Semenov, Continuous Selections of Multivalued Mappings, Kluwer Academic Publishers, 1998
  2. M. Cencelj, D.D. Repovš, Topology, University of Ljubljana, 2001
  3. V.D. Rădulescu, D.D. Repovš, Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis, Chapman and Hall/CRC, 2015
  4. A. Cavicchioli, F. Hegenbarth, D.D. Repovš, Higher-Dimensional Generalized Manifolds: Surgery and Constructions, European Mathematical Society, 2016
  5. N.S. Papageorgiou, V.D. Rădulescu, D.D. Repovš, Nonlinear Analysis – Theory and Methods, Springer, 2019

https://www.mathnet.ru/eng/person8507
https://scholar.google.com/citations?user=3h6BVPgAAAAJ&hl=en
https://zbmath.org/authors/ai:repovs.dusan-d
https://mathscinet.ams.org/mathscinet/MRAuthorID/147135
https://elibrary.ru/author_items.asp?spin=2281-6131
ISTINA https://istina.msu.ru/workers/618398909
https://orcid.org/0000-0002-6643-1271
https://publons.com/researcher/1755138
https://www.webofscience.com/wos/author/record/C-3602-2008
https://www.scopus.com/authid/detail.url?authorId=7004606901
https://www.researchgate.net/profile/Dusan-Repovs
https://arxiv.org/a/repovs_d_1

Publications in Math-Net.Ru Citations
2024
1. M. V. Zaicev, D. D. Repovš, “Codimensions of identities of solvable Lie superalgebras”, Izv. RAN. Ser. Mat., 88:4 (2024),  44–60  mathnet  mathscinet  zmath; Izv. Math., 88:4 (2024), 639–654  isi  scopus
2023
2. Jiabin Zuo, Yuyou Zhong, Dušan D. Repovš, “Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity”, Algebra i Analiz, 35:5 (2023),  85–98  mathnet; St. Petersburg Math. J., 35:5 (2024), 803–813
2021
3. M. V. Zaicev, D. D. Repovš, “Colength Growth Functions of Nonassociative Algebras”, Mat. Zametki, 109:3 (2021),  370–379  mathnet  mathscinet; Math. Notes, 109:3 (2021), 405–412  isi
2020
4. M. V. Zaicev, D. D. Repovš, “The theory of formal languages and identities of nonassociative algebras”, Sibirsk. Mat. Zh., 61:2 (2020),  322–329  mathnet  elib; Siberian Math. J., 61:2 (2020), 255–260  isi  scopus 2
2019
5. M. V. Zaicev, D. D. Repovš, “Combinatorics on binary words and codimensions of identities in left nilpotent algebras”, Algebra Logika, 58:1 (2019),  35–51  mathnet; Algebra and Logic, 58:1 (2019), 23–35  isi  scopus
2015
6. M. V. Zaicev, D. Repovš, “Exponential growth of codimensions of identities of algebras with unity”, Mat. Sb., 206:10 (2015),  103–126  mathnet  mathscinet  zmath  elib; Sb. Math., 206:10 (2015), 1440–1462  isi  scopus 5
2014
7. M. V. Zaicev, D. Repovš, “A Four-Dimensional Simple Algebra with Fractional PI-Exponent”, Mat. Zametki, 95:4 (2014),  538–553  mathnet  mathscinet  elib; Math. Notes, 95:4 (2014), 487–499  isi  scopus 6
2013
8. O. R. Nykyforchyn, D. Repovš, “Liftings of normal functors in the category of compacta to categories of topological algebra and analysis”, Sibirsk. Mat. Zh., 54:5 (2013),  1087–1101  mathnet  mathscinet  elib; Siberian Math. J., 54:5 (2013), 871–882  isi  scopus
2012
9. S. M. Ageev, D. D. Repovš, “The Covering Homotopy Extension Problem for Compact Transformation Groups”, Mat. Zametki, 92:6 (2012),  803–818  mathnet  mathscinet  zmath  elib; Math. Notes, 92:6 (2012), 737–750  isi  scopus 3
10. D. Repovš, M. B. Skopenkov, M. Cencelj, “Classification of knotted tori in 2-metastable dimension”, Mat. Sb., 203:11 (2012),  129–158  mathnet  mathscinet  zmath  elib; Sb. Math., 203:11 (2012), 1654–1681  isi  scopus 7
2011
11. A. Yu. Vesnin, D. Repovš, “Two-Sided Bounds for the Volume of Right-Angled Hyperbolic Polyhedra”, Mat. Zametki, 89:1 (2011),  12–18  mathnet  mathscinet; Math. Notes, 89:1 (2011), 31–36  isi  scopus 4
2010
12. S. M. Ageev, D. Repovš, “On extending actions of groups”, Mat. Sb., 201:2 (2010),  3–28  mathnet  mathscinet  zmath  elib; Sb. Math., 201:2 (2010), 159–182  isi  scopus 6
2007
13. Yu. V. Muranov, D. Repovš, M. Cencelj, “The $\pi$-$\pi$-Theorem for Manifold Pairs”, Mat. Zametki, 81:3 (2007),  405–416  mathnet  mathscinet  zmath  elib; Math. Notes, 81:3 (2007), 356–364  isi  elib  scopus
14. D. Repovš, M. B. Skopenkov, M. Cencelj, “Homotopy type of the complement of an immersion and classification of embeddings of tori”, Uspekhi Mat. Nauk, 62:5(377) (2007),  165–166  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:5 (2007), 985–987  isi  elib  scopus 11
2006
15. U. H. Karimov, D. Repovš, “Hawaiian groups of topological spaces”, Uspekhi Mat. Nauk, 61:5(371) (2006),  185–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:5 (2006), 987–989  isi  scopus 12
2005
16. P. M. Akhmet'ev, D. Repovš, M. Cencelj, “Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families”, Funktsional. Anal. i Prilozhen., 39:3 (2005),  1–13  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 39:3 (2005), 165–174  isi  scopus 2
17. F. Hegenbarth, D. Repovš, “Solving four-dimensional surgery problems using controlled theory”, Fundam. Prikl. Mat., 11:4 (2005),  221–236  mathnet  mathscinet  zmath; J. Math. Sci., 144:5 (2007), 4516–4526  scopus 4
18. A. Cavicchioli, D. Repovš, T. Thickstun, “Geometric topology of generalized $3$-manifolds”, Fundam. Prikl. Mat., 11:4 (2005),  71–84  mathnet  mathscinet  zmath; J. Math. Sci., 144:5 (2007), 4413–4422  scopus 4
19. D. Repovš, M. B. Skopenkov, M. Cencelj, “A short proof of the twelve-point theorem”, Mat. Zametki, 77:1 (2005),  117–120  mathnet  mathscinet  zmath  elib; Math. Notes, 77:1 (2005), 108–111  isi  elib  scopus 6
2004
20. S. M. Ageev, S. A. Bogatyi, D. Repovš, “Banach–Mazur Compacta are Aleksandrov Compactifications of $Q$-manifolds”, Mat. Zametki, 76:1 (2004),  3–10  mathnet  mathscinet  zmath; Math. Notes, 76:1 (2004), 3–9  isi  scopus 1
21. M. Cencelj, D. Repovš, A. B. Skopenkov, “On the Browder–Levine–Novikov Embedding Theorems”, Trudy Mat. Inst. Steklova, 247 (2004),  280–290  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 247 (2004), 259–268 5
22. I. Maleshich, P. E. Pushkar', D. Repovš, “On Eversion of Spheres”, Trudy Mat. Inst. Steklova, 247 (2004),  151–158  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 247 (2004), 135–142
2003
23. S. M. Ageev, S. A. Bogatyi, D. Repovš, “The complement $Q_E(n)$ of the point Eucl of Euclidean space in the Banach–Mazur compactum $Q(n)$ is a $Q$-manifold”, Uspekhi Mat. Nauk, 58:3(351) (2003),  185–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:3 (2003), 607–609  isi  scopus 1
24. Yu. V. Muranov, D. Repovš, F. Spaggiari, “Surgery on triples of manifolds”, Mat. Sb., 194:8 (2003),  139–160  mathnet  mathscinet  zmath  elib; Sb. Math., 194:8 (2003), 1251–1271  isi  scopus 9
25. P. M. Akhmet'ev, I. Maleshich, D. Repovš, “On the Euler characteristic of multiple selfintersection points of immersed manifolds”, Sibirsk. Mat. Zh., 44:2 (2003),  256–262  mathnet  mathscinet  zmath; Siberian Math. J., 44:2 (2003), 208–212  isi
2002
26. D. Repovš, A. B. Skopenkov, “Характеристические классы для начинающих”, Mat. Pros., Ser. 3, 6 (2002),  60–77  mathnet 1
27. P. M. Akhmet'ev, D. Repovš, I. Maleshich, “On Milnor's Invariants of 4-Component Links”, Mat. Zametki, 71:4 (2002),  496–507  mathnet  mathscinet  zmath; Math. Notes, 71:4 (2002), 455–463  isi  scopus 2
28. S. M. Ageev, D. Repovš, “The Jaworowski Method in the Problem of the Preservation of Extensor Properties by the Orbit Functor”, Mat. Zametki, 71:3 (2002),  470–473  mathnet  mathscinet  zmath  elib; Math. Notes, 71:3 (2002), 428–431  isi  scopus 2
29. Yu. V. Muranov, D. Repovš, “Geometric properties of a spectral sequence in surgery theory”, Uspekhi Mat. Nauk, 57:6(348) (2002),  191–192  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 57:6 (2002), 1238–1239  isi  scopus
30. S. M. Ageev, D. Repovš, “The method of approximative extension of mappings in the theory of extensors”, Sibirsk. Mat. Zh., 43:4 (2002),  739–756  mathnet  mathscinet; Siberian Math. J., 43:4 (2002), 591–604  isi 2
2001
31. Yu. V. Muranov, D. Repovš, “The Groups $LS$ and Morphisms of Quadratic Extensions”, Mat. Zametki, 70:3 (2001),  419–424  mathnet  mathscinet  zmath  elib; Math. Notes, 70:3 (2001), 378–383  isi 1
32. D. Repovš, P. V. Semenov, “On the Relation between the Nonconvexity of a Set and the Nonconvexity of Its $\varepsilon$-Neighborhoods”, Mat. Zametki, 70:2 (2001),  246–259  mathnet  mathscinet  zmath  elib; Math. Notes, 70:2 (2001), 221–232  isi 4
33. I. Maleshich, Yu. V. Muranov, D. Repovš, “Splitting Obstruction Groups in Codimension 2”, Mat. Zametki, 69:1 (2001),  52–73  mathnet  mathscinet  zmath  elib; Math. Notes, 69:1 (2001), 46–64  isi 5
34. P. M. Akhmet'ev, I. Maleshich, D. Repovš, “A formula for the generalized Sato–Levine invariant”, Mat. Sb., 192:1 (2001),  3–12  mathnet  mathscinet  zmath; Sb. Math., 192:1 (2001), 1–10  isi  scopus 3
2000
35. D. Repovš, A. B. Skopenkov, “Теория препятствий для начинающих”, Mat. Pros., Ser. 3, 4 (2000),  154–180  mathnet 1
1999
36. E. V. Shchepin, D. Repovš, “On smoothness of compacta”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 61 (1999),  190–207  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:6 (2000), 2716–2726 3
37. S. M. Ageev, D. Repovš, “Fine homotopy equivalence and injectivity”, Mat. Zametki, 65:6 (1999),  921–924  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 770–772  isi
38. D. Repovš, A. B. Skopenkov, “New results on embeddings of polyhedra and manifolds in Euclidean spaces”, Uspekhi Mat. Nauk, 54:6(330) (1999),  61–108  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 54:6 (1999), 1149–1196  isi  scopus 28
39. D. Repovš, A. B. Skopenkov, “Obstructions for Seifert fibrations and an extension of the Bolsinov–Fomenko theorem on integrable Hamiltonian systems”, Uspekhi Mat. Nauk, 54:3(327) (1999),  181–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 54:3 (1999), 652–653  isi  scopus
40. Yu. V. Muranov, D. Repovš, “Spherical fibrations and $L$-groups”, Uspekhi Mat. Nauk, 54:2(326) (1999),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:2 (1999), 445–447  isi  scopus 1
41. D. Repovš, A. B. Skopenkov, “Borromean Rings and Embedding Obstructions”, Trudy Mat. Inst. Steklova, 225 (1999),  331–338  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 225 (1999), 314–321 4
1998
42. Yu. V. Muranov, D. Repovš, “Surgery of closed manifolds with dihedral fundamental group”, Mat. Zametki, 64:2 (1998),  238–250  mathnet  mathscinet  zmath; Math. Notes, 64:2 (1998), 202–212  isi 3
43. S. M. Ageev, D. Repovš, “A unified finite-dimensional selection theorem”, Sibirsk. Mat. Zh., 39:5 (1998),  971–981  mathnet  mathscinet  zmath; Siberian Math. J., 39:5 (1998), 835–843  isi
44. P. M. Akhmet'ev, D. Repovš, “A Generalization of the Sato–Levine Invariant”, Trudy Mat. Inst. Steklova, 221 (1998),  69–80  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 221 (1998), 60–70 10
1997
45. Yu. V. Muranov, D. Repovš, “Groups of obstructions to surgery and splitting for a manifold pair”, Mat. Sb., 188:3 (1997),  127–142  mathnet  mathscinet  zmath; Sb. Math., 188:3 (1997), 449–463  isi  scopus 17
1996
46. Yu. V. Muranov, D. Repovš, “Obstructions to reconstructions from a pair of manifolds”, Uspekhi Mat. Nauk, 51:4(310) (1996),  165–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:4 (1996), 743–744  isi  scopus 2
47. D. Repovš, A. B. Skopenkov, “Embeddability and isotopy of polyhedra in Euclidean spaces”, Trudy Mat. Inst. Steklova, 212 (1996),  173–187  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 212 (1996), 163–178 15
48. S. M. Ageev, D. Repovš, E. V. Shchepin, “On the softness of the Dranishnikov resolution”, Trudy Mat. Inst. Steklova, 212 (1996),  7–32  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 212 (1996), 3–27 5
1994
49. D. Repovš, P. V. Semenov, “Michael's theory of continuous selections. Development and applications”, Uspekhi Mat. Nauk, 49:6(300) (1994),  151–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:6 (1994), 157–196  isi 13
1992
50. R. J. Daverman, D. Repovš, “Shrinking 1-dimensional cell-like decompositions of 3-manifolds”, Trudy Mat. Inst. Steklov., 193 (1992),  95–97  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 193 (1993), 101–103

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