Persons: Chernavskii, Aleksei Viktorovich

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Chernavskii, Aleksei Viktorovich
(1938–2023)

Professor

Doctor of physico-mathematical sciences (1970)

Birth date:

17.01.1938

Biography

Meeting dedicated to the memory of Aleksei Viktorovich Chernavskii
March 11, 2024, Institute for Information Transmission Problems, Steklov Mathematical Institute

Main publications:

Teorema o strukture konechnokratnykh otkrytykh otobrazhenii (Matem. sbornik, 65:3, 1964, 357–369; 66:3, 1965, 471–472).
Teorema o lokalnoi styagivaemosti gruppy gomeomorfizmov mnogoobrazii (Matem. sbornik, 79:3, 1969, 307–356).
Sovpadenie lokalnoi ploskostnosti i lokalnoi odnosvyaznosti dlya vlozhenii $(n-1)$-mernykh mnogoobrazii v $n$-mernye pri $n>4$ (Matem. sbornik, 91:2, 1973, 297–304).
Geometricheskaya model planirovaniya traektorii (sovm. s V. N. Karpushkinym). Neirokompyuter, 1992, 35–39.
Neironnye seti upravleniya dvizheniem (sovm. s A. P. Karpovichem). Fizicheskie i matematicheskie modeli neironnykh setei. VINITI, 1992, 38–95.
K voprosu o ponyatii informatsionnogo vzaimodeistviya (sovm. s N. A. Kuznetsovym i V. A. Lyubetskim). Trudy Samarskoi konferentsii "Problemy modelirovaniya i upravleniya v slozhnykh sistemakh", II, 2000, 8–20; III, 2001, 25–42; IV, 2002.

https://www.mathnet.ru/eng/person15618

https://ru.wikipedia.org/wiki/Chernavskii,_Aleksei_Viktorovich

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/225520

https://elibrary.ru/author_items.asp?authorid=4223

	Publications in Math-Net.Ru	Citations
	2008
1.	A. V. Chernavskii, “Local Contractibility of the Homeomorphism Group of $\mathbb R^n$”, Trudy Mat. Inst. Steklova, 263 (2008), 201–215 ; Proc. Steklov Inst. Math., 263 (2008), 189–203	2
	2005
2.	A. V. Chernavskii, “On the work of L. V. Keldysh and her seminar”, Uspekhi Mat. Nauk, 60:4(364) (2005), 11–36 ; Russian Math. Surveys, 60:4 (2005), 589–614	12
	1999
3.	A. V. Chernavskii, “Теорема Жордана”, Mat. Pros., Ser. 3, 3 (1999), 142–157
	1985
4.	A. V. Chernavskii, “A generalization of Keldysh's construction of a monotone map of a cube onto a cube of higher dimension”, Uspekhi Mat. Nauk, 40:4(244) (1985), 209–211 ; Russian Math. Surveys, 40:4 (1985), 165–167	3
	1974
5.	A. V. Chernavskii, “Contractible neighborhoods in the group of homeomorphisms of a manifold”, Dokl. Akad. Nauk SSSR, 218:2 (1974), 301–303	2
	1973
6.	A. V. Chernavskii, “Coincidence of local flatness and local simple-connectedness for embeddings of $(n-1)$-dimensional manifolds in $n$-dimensional manifolds when $n>4$”, Mat. Sb. (N.S.), 91(133):2(6) (1973), 279–286 ; Math. USSR-Sb., 20:2 (1973), 297–304	9
	1971
7.	A. V. Chernavskii, “Éduard Čech (on the tenth anniversary of his death)”, Uspekhi Mat. Nauk, 26:3(159) (1971), 161–164 ; Russian Math. Surveys, 26:3 (1971), 177–181
	1970
8.	A. V. Chernavskii, “Piecewise linear approximation of imbeddings of manifolds in codimensions greater than two”, Mat. Sb. (N.S.), 82(124):3(7) (1970), 499–500 ; Math. USSR-Sb., 11:3 (1970), 465–466	5
	1969
9.	A. V. Chernavskii, “Topological embeddings of manifolds”, Dokl. Akad. Nauk SSSR, 187:6 (1969), 1247–1250	3
10.	A. V. Chernavskii, “Piecewise linear approximations of embeddings of cells and spheres in codimensions higher than two”, Mat. Sb. (N.S.), 80(122):3(11) (1969), 339–364 ; Math. USSR-Sb., 9:3 (1969), 321–343	6
11.	A. V. Černavskiĭ, “Local contractibility of the group of homeomorphisms of a manifold”, Mat. Sb. (N.S.), 79(121):3(7) (1969), 307–356 ; Math. USSR-Sb., 8:3 (1969), 287–333	21
	1968
12.	A. V. Chernavskii, “Local contrctibility of the homeomorphism group of a manifold”, Dokl. Akad. Nauk SSSR, 182:3 (1968), 510–513	1
13.	A. V. Chernavskii, “Locally homotopically unknotted embeddings of manifolds”, Dokl. Akad. Nauk SSSR, 181:2 (1968), 290–293	1
14.	A. V. Chernavskii, “The $k$stability of homeomorphisms and the union of cells”, Dokl. Akad. Nauk SSSR, 180:5 (1968), 1045–1047	1
15.	A. V. Chernavskii, “Homeomorphisms of Euclidean space and topological imbeddings of polyhedra in Euclidean spaces. III”, Mat. Sb. (N.S.), 75(117):2 (1968), 264–295 ; Math. USSR-Sb., 4:2 (1968), 241–266	2
	1967
16.	H. Zieschang, A. V. Chernavskii, “Geometric topology of manifolds”, Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1965, 1967, 219–261
17.	A. V. Chernavskii, “Homeomorphisms of Euclidean space and topological imbeddings of polyhedra in Euclidean spaces. II”, Mat. Sb. (N.S.), 72(114):4 (1967), 573–601 ; Math. USSR-Sb., 1:4 (1967), 519–541	2
	1966
18.	V. P. Kompaniets, A. V. Chernavskii, “Equivalence of two classes of sphere mappings”, Dokl. Akad. Nauk SSSR, 169:6 (1966), 1266–1268	4
19.	A. V. Chernavskii, “On singular points of topological imbeddings of manifolds and the union of locally flat cells”, Dokl. Akad. Nauk SSSR, 167:3 (1966), 528–530	5
20.	A. V. Chernavskii, “Homeomorphisms of $R^n$ are $k$-stable for $k\leqslant n-3$”, Mat. Sb. (N.S.), 70(112):4 (1966), 605–606	1
	1965
21.	A. V. Chernavskii, “Topological imbeddings of polyhedra in Euclidean spaces”, Dokl. Akad. Nauk SSSR, 165:6 (1965), 1257–1260
22.	A. V. Chernavskii, “Homeomorphisms of Euclidean space and topological imbeddings of polyhedra in Euclidean spaces. I”, Mat. Sb. (N.S.), 68(110):4 (1965), 581–613	2
23.	A. V. Chernavskii, “Addendum to the paper “Finite-to-one open mappings of manifolds””, Mat. Sb. (N.S.), 66(108):3 (1965), 471–472	5
	1964
24.	A. V. Chernavskii, “Isotopy of elements and spheres in $n$-dimensional space with $k>2/3$ $n-1$”, Dokl. Akad. Nauk SSSR, 158:1 (1964), 62–65	1
25.	A. V. Chernavskii, “Isotopies in Euclidean spaces”, Uspekhi Mat. Nauk, 19:6(120) (1964), 71–73 ; Russian Math. Surveys, 19:6 (1964), 63–65
26.	A. V. Chernavskii, “Finite-to-one open mappings of manifolds”, Mat. Sb. (N.S.), 65(107):3 (1964), 357–369	12
	1963
27.	A. V. Chernavskii, “Finitely multiple open mappings of manifolds”, Dokl. Akad. Nauk SSSR, 151:1 (1963), 69–72
28.	A. V. Chernavskii, “Geometric topology of manifolds”, Itogi Nauki. Algebra. Topol. 1962, 1963, 161–187
	1962
29.	A. V. Chernavskii, “The impossibility of a strictly double continuous partition of a homologous cube”, Dokl. Akad. Nauk SSSR, 144:2 (1962), 286–289
	1961
30.	A. V. Chernavskii, “The configuration of $(n-1)$-spheres in the $n$-sphere”, Dokl. Akad. Nauk SSSR, 140:3 (1961), 540–542
	1960
31.	A. V. Chernavskii, “Twofold continuous partitions of a ball”, Dokl. Akad. Nauk SSSR, 131:6 (1960), 1272–1275

	2018
32.	V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Uspekhi Mat. Nauk, 73:4(442) (2018), 179–187 ; Russian Math. Surveys, 73:4 (2018), 737–746
	2017
33.	A. Chernavski, D. Fuchs, S. Gusein-Zade, Yu. Ilyashenko, O. Karpenkov, A. Kirillov, S. Lando, S. Matveev, M. Skopenkov, V. Tikhomirov, M. Tsfasman, V. Vassiliev, “Alexei Bronislavovich Sossinsky turns 80”, Mosc. Math. J., 17:3 (2017), 555–558
	2008
34.	N. M. Bliznyakov, V. M. Buchstaber, Yu. E. Gliklikh, V. G. Zvyagin, A. S. Mishchenko, V. V. Obukhovskii, Yu. I. Sapronov, A. T. Fomenko, A. V. Chernavskii, “Yurii Grigor'evich Borisovich (obituary)”, Uspekhi Mat. Nauk, 63:4(382) (2008), 173–174 ; Russian Math. Surveys, 63:4 (2008), 767–769
	2007
35.	A. V. Chernavskii, Yu. S. Ilyashenko, S. K. Lando, S. V. Matveev, M. A. Tsfasman, V. A. Vassiliev, “Alexei B. Sossinsky”, Mosc. Math. J., 7:4 (2007), 763–764
	2006
36.	A. V. Chernavskii, “On the Jubilee Conference “Geometric Topology, Discrete Geometry and Set Theory””, Trudy Mat. Inst. Steklova, 252 (2006), 7–9 ; Proc. Steklov Inst. Math., 252 (2006), 1–3
	2005
37.	S. I. Adian, A. A. Mal'tsev, E. V. Sandrakova, A. B. Sosinskii, A. V. Chernavskii, M. A. Shtan'ko, “Lyudmila Vsevolodovna Keldysh (on the centenary of her birth)”, Uspekhi Mat. Nauk, 60:4(364) (2005), 5–10 ; Russian Math. Surveys, 60:4 (2005), 581–588	3
	2004
38.	A. V. Chernavskii, V. P. Leksin, M. Butuzov, I. V. Vyugin, R. R. Gontsov, V. A. Poberezhnyi, Yu. S. Ilyashenko, A. G. Sergeev, S. P. Konovalov, “Reminiscences about Andrei Andreevich Bolibrukh”, Uspekhi Mat. Nauk, 59:6(360) (2004), 207–215 ; Russian Math. Surveys, 59:6 (2004), 1213–1224
39.	A. V. Chernavskii, “Preface”, Trudy Mat. Inst. Steklova, 247 (2004), 7–9 ; Proc. Steklov Inst. Math., 247 (2004), 1–3
	2003
40.	D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (obituary)”, Uspekhi Mat. Nauk, 58:6(354) (2003), 139–142 ; Russian Math. Surveys, 58:6 (2003), 1185–1189	1
	1998
41.	D. V. Anosov, P. M. Akhmet'ev, A. A. Bolibrukh, V. M. Buchstaber, V. A. Kolosov, A. A. Mal'tsev, S. P. Novikov, V. A. Smirnov, A. V. Chernavskii, “Mikhail Mikhailovich Postnikov (on his 70th birthday)”, Uspekhi Mat. Nauk, 53:2(320) (1998), 183–184 ; Russian Math. Surveys, 53:2 (1998), 431–433
	1983
42.	A. V. Chernavskii, “V. V. Chavchanidze, Natural and artificial intelligence (conceptual approach) (a review)”, Uspekhi Mat. Nauk, 38:1(229) (1983), 223–229
	1974
43.	P. S. Aleksandrov, A. B. Sosinskii, A. V. Chernavskii, M. A. Shtan'ko, “Lyudmila Vsevolodovna Keldysh (on the occasion of her seventieth birthday)”, Uspekhi Mat. Nauk, 29:4(178) (1974), 187–192 ; Russian Math. Surveys, 29:4 (1974), 155–161	1

Presentations in Math-Net.Ru

1.	About Ljudmila V. Keldysh and her seminar [talk in English] A. V. Chernavskii Geometric Topology Seminar February 22, 2023 19:05
2.	On contractible neighborhoods in the homeomorphism group of a manifold A. V. Chernavskii Geometric Topology Seminar April 7, 2016 14:30
3.	Теоремы Брауэра A. V. Chernavskii Algebraic topology and its applications. Postnikov memorial seminar October 6, 2015 16:45
4.	Аксиома накрывающей гомотопии для локально плоских вложений A. V. Chernavskii Algebraic topology and its applications. Postnikov memorial seminar October 7, 2014 16:45
5.	Survey of thesis by U. Karimov "Towards the solution of the generalized Alexandrov-Lefschets-Begle problem" A. V. Chernavskii Algebraic topology and its applications. Postnikov memorial seminar December 3, 2013 16:45
6.	On the space of locally flat embeddings of manifolds A. V. Chernavskii Geometric Topology Seminar November 5, 2013 15:00
7.	On some works of M. A. Shtanko A. V. Chernavskii P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics May 16, 2011 18:30
8.	Оn a proof of Shtan$'$ko's theorem on 1-ULC approximation of codimension 1 submanifolds A. V. Chernavskii Geometric Topology Seminar March 1, 2011 15:00
9.	Correction of Shtan'ko's original proof of the Ancel–Cannon theorem on locally flat approximation of codimension 1 embeddings of manifolds (continued) A. V. Chernavskii Geometric Topology Seminar January 19, 2011 12:00
10.	Воспоминания об А. А. Болибрухе A. V. Chernavskii Meetings of the Moscow Mathematical Society December 28, 2004
11.	Speech at the opening of the International conference “Geometric Topology, Discrete Geometry and Set Theory” dedicated to the centennial of L. V. Keldysh A. V. Chernavskii International conference "Geometric Topology, Discrete Geometry and Set Theory" dedicated to the centennial of Ljudmila Vsevolodovna Keldysh August 24, 2004 08:50
12.	International conference “Geometric Topology, Discrete Geometry and Set Theory” dedicated to the centennial of Ljudmila Vsevolodovna Keldysh (Moscow, Steklov Mathematical Institute, August 24–28, 2004) A. V. Chernavskii International conference "Geometric Topology, Discrete Geometry and Set Theory" dedicated to the centennial of Ljudmila Vsevolodovna Keldysh August 24–28, 2004

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