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Melikhov Sergey Aleksandrovich

Publications


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   2025
1. S. A. Melikhov, “Lifting generic maps to embeddings. The double point obstruction”, Essays on Topology. Dedicated to Valentin Poénaru, eds. L. Funar and A. Papadopoulos, Springer, 2025, 46 pp. (to appear) arXiv: 1711.03518

   2024
2. S. A. Melikhov, Two-variable Conway polynomial and Cochran's derived invariants, 2024 , 36 pp., arXiv: math.GT/0312007v3
3. S. A. Melikhov, “A joint logic of problems and propositions”, Doklady Math., 109:2 (2024), 130–139  mathnet  crossref  crossref  elib
4. S. A. Melikhov, Is every knot isotopic to the unknot?, 2024 , 61 pp., arXiv: 2406.09365
5. S. A. Melikhov, Topological isotopy and finite type invariants, 2024 , 52 pp., arXiv: 2406.09331

   2022
6. S. A. Melikhov, A Galois connection between classical and intuitionistic logics. I: Syntax, 2022 , 47 pp., arXiv: 1312.2575v5
7. S. Melikhov, Infinite-dimensional uniform polyhedra, 2022 , 47 pp., arXiv: 1109.0346v4
8. S. Melikhov, Metrizable uniform spaces, 2022 , 161 pp., arXiv: 1106.3249v6
9. S. A. Melikhov, A Galois connection between classical and intuitionistic logics. II: Semantics, 2022 , 40 pp., arXiv: 1504.03379v5
10. S. A. Melikhov, Fine shape. I, 2022 , 46 pp., arXiv: 1808.10228v2
11. S. A. Melikhov, Lim colim versus colim lim. I, 2022 , 29 pp., arXiv: 1809.00023v3
12. S. A. Melikhov, Lim colim versus colim lim. II: Derived limits over a pospace, 2022 , 29 pp., arXiv: 1809.00022v2
13. V. I. Buslaev, V. M. Buchstaber, A. N. Dranishnikov, V. M. Kliatskine, S. A. Melikhov, L. Montejano, S. P. Novikov, P. V. Semenov, “Evgenii Vital'evich Shchepin (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 559–569  mathnet  crossref  crossref  mathscinet  adsnasa  isi
14. S. A. Melikhov, “Embeddability of joins and products of polyhedra”, Topol. Methods Nonlinear Anal., 60:1 (2022), 185–201 , arXiv: 2210.04015  mathnet  crossref  mathscinet;
15. S. A. Melikhov, “Lifting generic maps to embeddings. Triangulation and smoothing”, Stud. Sci. Math. Hung., 59:2 (2022), 124–141 , arXiv: 2011.01402  mathnet  crossref  mathscinet;
16. S. A. Melikhov, Coronated polyhedra and coronated ANRs, 2022 , 25 pp., arXiv: 2211.09951
17. S. A. Melikhov, Fine shape II: A Whitehead-type theorem, 2022 , 33 pp., arXiv: 2211.11102
18. S. A. Melikhov, Fine shape III: $\Delta$-spaces and $\nabla$-spaces, 2022 , 25 pp., arXiv: 2211.11101
19. S. A. Melikhov, Topology of Metric Spaces, ResearchGate, 2022 , 254 pp.

   2021
20. S. A. Melikhov, “Topological isotopy and Cochran's derived invariants”, Topology, Geometry, and Dynamics: V. A. Rokhlin Memorial, Contemp. Math., 772, Amer. Math. Soc., Providence, RI, 2021, 249–266 , arXiv: 2011.01409  mathnet  crossref  scopus  youtube

   2020
21. S. A. Melikhov, “A triple-point Whitney trick”, J. Topol. Anal., 12:4 (2020), 1041–1046 , arXiv: 2210.04016  mathnet  crossref  mathscinet  isi  scopus

   2021
22. P. M. Akhmetiev, S. A. Melikhov, “Projected and near-projected embeddings”, J. Math. Sci, 255:2 (2021), 155–174  mathnet  crossref  mathscinet  mathscinet  scopus

   2019
23. S. A. Melikhov, “A note on O. Frolkina`s paper “Pairwise disjoint Moebius bands in space””, J. Knot Theory Ramif., 28:7 (2019), 1971001 , 3 pp., arXiv: 1810.04089  mathnet  crossref  mathscinet  zmath  isi  scopus

   2018
24. S. Melikhov, Combinatorics of combinatorial topology, 2018 , 72 pp., arXiv: 1208.6309v2
25. S. A. Melikhov, “Immersions of the circle into a surface”, Sb. Math., 209:4 (2018), 503–518  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
26. S. A. Melikhov, Algebraic topology of Polish spaces. II: Axiomatic homology, 2018 , 24 pp., arXiv: 1808.10243
27. S. A. Melikhov, “Self $C_2$-equivalence of two-component links and invariants of link maps”, J. Knot. Theory Ram., 27:13 (2018), 1842012 , 22 pp., arXiv: 1711.03514  mathnet  crossref  mathscinet  zmath  isi  scopus

   2017
28. S. A. Melikhov, Mathematical semantics of intuitionistic logic, 2017 , 179 pp., arXiv: 1504.03380v3
29. S. A. Melikhov, “Topologiya dokazatelstv”, Konkurs Mëbiusa glazami ego pobeditelei, MTsNMO, Moskva, 2017, 28–33 www.mccme.ru/free-books/moebius20.pdf

   2015
30. S. A. Melikhov, “Transverse Fundamental Group and Projected Embeddings”, Proc. Steklov Inst. Math., 290 (2015), 155–165 , arXiv: 1505.00505  mathnet  crossref  crossref  isi  elib  elib  scopus

   2013
31. S. Melikhov, J. Zaja̧c, “Contractible polyhedra in products of trees and absolute retracts in products of dendrites”, Proc. Amer. Math. Soc., 141:7 (2013), 2519–2535 , arXiv: 1102.0696  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2011
32. S. A. Melikhov, Combinatorics of embeddings, 2011 , 49 pp., arXiv: 1103.5457

   2009
33. S. A. Melikhov, “Steenrod homotopy”, Russian Math. Surveys, 64:3 (2009), 469–551 , arXiv: 0812.1407  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
34. S. A. Melikhov, “The van Kampen Obstruction and Its Relatives”, Proc. Steklov Inst. Math., 266 (2009), 142–176 , arXiv: math.GT/0612082  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025