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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 |
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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 |
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 |
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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 |
14. |
S. A. Melikhov, “Embeddability of joins and products of polyhedra”, Topol. Methods Nonlinear Anal., 60:1 (2022), 185–201 , arXiv: 2210.04015 ; |
15. |
S. A. Melikhov, “Lifting generic maps to embeddings. Triangulation and smoothing”, Stud. Sci. Math. Hung., 59:2 (2022), 124–141 , arXiv: 2011.01402 ; |
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. |
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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 |
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2020 |
21. |
S. A. Melikhov, “A triple-point Whitney trick”, J. Topol. Anal., 12:4 (2020), 1041–1046 , arXiv: 2210.04016 |
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2021 |
22. |
P. M. Akhmetiev, S. A. Melikhov, “Projected and near-projected embeddings”, J. Math. Sci, 255:2 (2021), 155–174 |
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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 |
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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 |
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 |
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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 |
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2015 |
30. |
S. A. Melikhov, “Transverse Fundamental Group and Projected Embeddings”, Proc. Steklov Inst. Math., 290 (2015), 155–165 , arXiv: 1505.00505 |
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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 |
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2011 |
32. |
S. A. Melikhov, Combinatorics of embeddings, 2011 , 49 pp., arXiv: 1103.5457 |
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2009 |
33. |
S. A. Melikhov, “Steenrod homotopy”, Russian Math. Surveys, 64:3 (2009), 469–551 , arXiv: 0812.1407 |
34. |
S. A. Melikhov, “The van Kampen Obstruction and Its Relatives”, Proc. Steklov Inst. Math., 266 (2009), 142–176 , arXiv: math.GT/0612082 |
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