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Melikhov Sergey Aleksandrovich
(recent publications)

by years

scientific publications

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2026
1.	S. A. Melikhov, “Satellites and invariants of links”, Zap. nauch. sem. POMI, 2026, 51 str. (to appear)

2025
2.	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, 237–288, arXiv: 1711.03518
3.	Sergey A. Melikhov, “Local knots and the prime factorization of links”, J. Knot. Theor. Ramif., 2025, 1, 2640004 (Published online), 10 pp., arXiv: 2511.19579

2024
4.	S. A. Melikhov, Two-variable Conway polynomial and Cochran's derived invariants, 2024, 36 pp., arXiv: math.GT/0312007v3
5.	S. A. Melikhov, “A joint logic of problems and propositions”, Doklady Math., 109:2 (2024), 130–139, arXiv: 2512.03259
6.	S. A. Melikhov, Is every knot isotopic to the unknot?, 2024, 61 pp., arXiv: 2406.09365
7.	S. A. Melikhov, Topological isotopy and finite type invariants, 2024, 50 pp., arXiv: 2406.09331

2022
8.	S. A. Melikhov, A Galois connection between classical and intuitionistic logics. I: Syntax, 2022, 47 pp., arXiv: 1312.2575v5
9.	S. Melikhov, Infinite-dimensional uniform polyhedra, 2022, 47 pp., arXiv: 1109.0346v4
10.	S. Melikhov, Metrizable uniform spaces, 2022, 161 pp., arXiv: 1106.3249v6
11.	S. A. Melikhov, A Galois connection between classical and intuitionistic logics. II: Semantics, 2022, 40 pp., arXiv: 1504.03379v5
12.	S. A. Melikhov, Fine shape. I, 2022, 46 pp., arXiv: 1808.10228v2
13.	S. A. Melikhov, Lim colim versus colim lim. I, 2022, 29 pp., arXiv: 1809.00023v3
14.	S. A. Melikhov, Lim colim versus colim lim. II: Derived limits over a pospace, 2022, 29 pp., arXiv: 1809.00022v2
15.	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
16.	S. A. Melikhov, “Embeddability of joins and products of polyhedra”, Topol. Methods Nonlinear Anal., 60:1 (2022), 185–201, arXiv: 2210.04015
17.	S. A. Melikhov, “Lifting generic maps to embeddings. Triangulation and smoothing”, Stud. Sci. Math. Hung., 59:2 (2022), 124–141, arXiv: 2011.01402	1 ^[x]
18.	S. A. Melikhov, Coronated polyhedra and coronated ANRs, 2022, 25 pp., arXiv: 2211.09951
19.	S. A. Melikhov, Fine shape II: A Whitehead-type theorem, 2022, 33 pp., arXiv: 2211.11102
20.	S. A. Melikhov, Fine shape III: $\Delta$-spaces and $\nabla$-spaces, 2022, 25 pp., arXiv: 2211.11101
21.	S. A. Melikhov, Topology of Metric Spaces, ResearchGate, 2022, 254 pp.

2021
22.	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	1 ^[x]

2020
23.	S. A. Melikhov, “A triple-point Whitney trick”, J. Topol. Anal., 12:4 (2020), 1041–1046, arXiv: 2210.04016	3 ^[x]

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

2019
25.	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	1 ^[x]

2018
26.	S. Melikhov, Combinatorics of combinatorial topology, 2018, 72 pp., arXiv: 1208.6309v2
27.	S. A. Melikhov, “Immersions of the circle into a surface”, Sb. Math., 209:4 (2018), 503–518
28.	S. A. Melikhov, Algebraic topology of Polish spaces. II: Axiomatic homology, 2018, 24 pp., arXiv: 1808.10243
29.	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

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

2015
32.	S. A. Melikhov, “Transverse Fundamental Group and Projected Embeddings”, Proc. Steklov Inst. Math., 290 (2015), 155–165, arXiv: 1505.00505

2013
33.	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	1 ^[x]

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

Full list of publications