Speciality: 01.01.04 (Geometry and topology)
Phone: +7 (495) 984 81 41 * 37 87
Fax: +7 (499) 135 05 55
E-mail:
Keywords: $n$-quasi-isotopy, dichotomial cell complexes, uniform polyhedra, comanifolds, Steenrod homotopy.
UDC: 515.162, 515.163, 515.164, 515.123.4, 515.125, 515.142.26, 515.148
MSC: 57M, 57N, 57Q

Subject:

Geometric Topology (embedding theory, links modulo knots, combinatorial topology and its foundations, resolution of singularities)
Algebraic Topology of metrizable spaces and 0-dimensional groups
Foundations of Mathematics (homotopy type theory, conservative extensions of intuitionistic logic, semantics of the meta-logic of first-order logics)

Main publications:

1. S. A. Melikhov, “Topological isotopy and Cochran’s derived invariants”, Topology, Geometry, and Dynamics: V. A. Rokhlin Memorial, Contemporary Mathematics, 772, eds. A. M. Vershik, V. M. Buchstaber, A. V. Malyutin, Amer. Math. Soc., Providence, RI, 2021, 249–266 arXiv: 2011.01409    

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Steklov International Mathematical Center
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow