Evgenii Vital'evich Shchepin (on his 70th birthday)

V. I. Buslaev   ; V. M. Buchstaber   ; A. N. Dranishnikov   ; V. M. Kliatskine   ; S. A. Melikhov   ; L. Montejano   ; S. P. Novikov   ; P. V. Semenov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 77 (2022) no. 3, pp. 559-569

Bibliographie

[1] E. V. Ščepin, “Axiomatics of the dimension of metric spaces”, Mat. Sb., 92(134):1(9) (1973), 135–141 ; English transl. in Sb. Math., 21:1 (1973), 137–143 | MR | Zbl | DOI

[2] E. V. Ščepin, “On a problem of L. A. Tumarkin”, Dokl. Akaf. Nauk SSSR, 217:1 (1974), 42–43 ; English transl. in Soviet Math. Dokl., 15:4 (1974), 1024–1026 | MR | Zbl

[3] E. V. Ščepin, “On a problem of Isbell”, Dokl. Akad. Nauk SSSR, 222:3 (1975), 541–543 ; English tranasl. in Soviet Math. Dokl., 16:3 (1975), 685–687 | MR | Zbl

[4] E. V. Shchepin, “The dimension of a sum of curves”, Uspekhi Mat. Nauk, 30:4(184) (1975), 267–268 (Russian) | MR | Zbl

[5] E. V. Shchepin, “Topology of limit spaces of uncountable inverse spectra”, Uspekhi Mat. Nauk, 31:5(191) (1976), 191–226 ; English transl. in Russian Math. Surveys, 31:5 (1976), 155–191 | MR | Zbl | DOI

[6] E. V. Shchepin, “Topology of limit spaces of uncountable inverse spectra”, Dokl. Akad. Nauk SSSR, 233:3 (1977), 304–307 ; English trabsl. in xjour Soviet Math. Dokl. 18:2 (1977), 402–406 | MR | Zbl

[7] E. V. Shchepin, “On Tychonoff manifolds”, Dokl. Akad. Nauk SSSR, 246:3 (1979), 551–554 ; English transl. in Soviet Math. Dokl., 20:3 (1979), 511–515 | MR | Zbl

[8] E. V. Shchepin, “Functors and uncountable powers of compacta”, Uspekhi Mat. Nauk, 36:3(219) (1981), 3–62 ; English transl. in Russian Math. Surveys, 36:3 (1981), 1–71 | MR | Zbl | DOI

[9] M. A. Shtan'lo and E. V. Shchepin, “A spectral criterion for the embeddavility of a compact set in a Euclidean space”, Proceeding of the Leningrad International Mathematical Conference, Nauka, Leningrad, 1983, 135–142 (Russian)

[10] E. V. Shchepin, “Soft maps of manifolds”, Uspekhi Mat. Nauk, 39:5(239) (1984), 209–224 ; English transl. in Russian Math. Surveys, 39:5 (1984), 251–270 | MR | Zbl | DOI

[11] A. N. Dranishnikov and E. V. Schepin, “Cell-like maps. The problem of raising dimension”, Uspekhi Mat. Nauk, 41:6(252) (1986), 49–90 ; English transl. in Russian Math. Surveys, 41:6 (1986), 59–111 | MR | Zbl | DOI

[12] E. V Shchepin, “Dimension-raising maps and contiuous information transmission”, Questions in pure and applied mathematics, v. 1, Priokskoe Knizhnoe Izdatel'stvo, Tula, 1987, 148–155 (Russian)

[13] A. N. Dranišnikov, D. Repovš, and E. V. Ščepin, “On intersections of compacta of complementary dimensions in Euclidean space”, Topology Appl., 38:3 (1991), 237–253 | DOI | MR | Zbl

[14] V. M. Klyatskin (Kliatskine), V. V. Mottl, and E. V. Schepin, “A probabilistic approach to the problem of skeletonizing point images”, Pattern Recognit. Image Anal., 1:4 (1991), 430–439

[15] V. M. Buchstaber, V. M. Klyatskin (Kliatskine), V. V. Mottl', and E. V. Shchepin, “An automatic system for an analysis of planar point images by means of skeletonization as a tool for solving problems in applied statistics”, Programmnye Produkty i Sistemy, 3 (1991), 52–62 (Russian)

[16] E. V. Shchepin and G. M. Nepomnyashchiy, “Character recognition via critical points”, Int. J. Imaging Syst. Technol., 3:3 (1991), 213–221 | DOI

[17] W. J. R. Mitchell, D. Repovš, and E. V. Ščepin, “On 1-cycles and the finite dimensionality of homology 4-manifolds”, Topology, 31:3 (1992), 605–623 | DOI | MR | Zbl

[18] P. V. Semenov and E. V. Shchepin, “Universality of the zero-dimensional selection theorem”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 36–40 ; English transl. in Funct. Anal. Appl., 26:2 (1992), 105–108 | MR | Zbl | DOI

[19] A. N. Dranishnikov, D. Repovš, and E. V. Ščepin, “Dimension of products with continua”, Topology Proc., 18 (1993), 57–73 | MR | Zbl

[20] D. Repovš, P. V. Semenov, and E. V. Ščepin, “On zero-dimensional Milutin maps and Michael selection theorems”, Topology Appl., 54:1-3 (1993), 77–83 | DOI | MR | Zbl

[21] A. N. Dranišnikov, D. Repovš, and E. V. Ščepin, “On approximation and embedding problems for cohomological dimension”, Topology Appl., 55:1 (1994), 67–86 | DOI | MR | Zbl

[22] E. V. Shchepin and N. B. Brodskii (Brodsky), “Selections of filtered multivalued mappings”, Maps and Dimension, Tr. Mat. Inst. Steklov., 212, Nauka, Moscow, 1996, 220–240 ; English transl. in Proc. Steklov Inst. Math., 212 (1996), 209–229 | MR | Zbl

[23] L. Montejano and E. V. Shchepin, “A characterization of convex sets in terms of acyclic support sets”, Bull. London Math. Soc., 28:5 (1996), 501–504 | DOI | MR | Zbl

[24] V. Kliatskine, E. Shchepin, G. Thorvaldsen, K. Zingerman, and V. Lazarev, “A structured method for the recognition of complex historical tables”, History and Computing, 9:1-3 (1997), 58–77 | DOI

[25] D. Repovš and E. V. Ščepin, “A proof of the Hilbert–Smith conjecture for actions by Lipschitz maps”, Math. Ann., 308:2 (1997), 361–364 | DOI | MR | Zbl

[26] D. Repovš, P. V. Semenov, and E. V. Ščepin, “On exact Milyutin mappings”, Topology Appl., 81:3 (1997), 197–205 | DOI | MR | Zbl

[27] N. B. Brodskij (Brodsky) and E. V. Shchepin, “Poincaré duality and Serre fibrations”, Topology Appl., 80:1-2 (1997), 55–61 | DOI | MR | Zbl

[28] A. N. Dranishnikov, D. Repovš, and E. V. Ščepin, “Transversal intersection formula for compacta”, Topology Appl., 85:1-3 (1998), 93–117 | DOI | MR | Zbl

[29] E. V. Shchepin, “Arithmetic of dimension theory”, Uspekhi Mat. Nauk, 53:5(323) (1998), 115–212 ; English transl. in Russian Math. Surveys, 53:5 (1998), 975–1069 | DOI | MR | Zbl | DOI

[30] E. V. Shchepin, “Hausdorff dimension and the dynamics of diffeomorphisms”, Mat. Zametki, 65:3 (1999), 457–463 ; English transl. in Math. Notes, 65:3 (1999), 381–385 | DOI | MR | Zbl | DOI

[31] E. V. Shchepin, “Hausdorff dimension and the dynamics of diffeomorphisms”, Uspekhi Mat. Nauk, 54:2(326) (1999), 193–194 ; English transl. in xjour Russian Math. Surveys 54:2 (1999), 432–433 | DOI | MR | Zbl | DOI

[32] P. V. Semenov and E. V. Shchepin, “Selection approach to multivalued separation theorems”, Topol. Methods Nonlinear Anal., 14:1 (1999), 183–192 | DOI | MR | Zbl

[33] E. V. Shchepin, Uppsala lectures on calculus, 2003, viii+129 pp. http://at.yorku.ca/i/a/a/z/20.htm

[34] L. Montejano and E. Shchepin, “Topological tomography in convexity”, Bull. London Math. Soc., 34:3 (2002), 353–358 | DOI | MR | Zbl

[35] N. Vakhania and E. Shchepin, “Concurrent operations can be parallelized in scheduling multiprocessor job shop”, J. Sched., 5:3 (2002), 227–245 | DOI | MR | Zbl

[36] E. V. Shchepin, M. V. Shevelev, and N. E. Schepin, “On the topology of the number 64”, Chebyshevskii Sb., 4:4 (2003), 153–172 (Russian) | MR | Zbl

[37] E. V. Shchepin, “On fractal Peano curves”, Geometric topology and set theory, Tr. Mat. Inst. Steklov., 247, Nauka, MAIK ‘Nauka/Interperiodika’, Moscow, 2004, 294–303 ; English transl. in Proc. Steklov Inst. Math., 247 (2004), 272–280 | MR | Zbl

[38] A. Yu. Volovikov and E. V. Shchepin, “Antipodes and embeddings”, Mat. Sb., 196:1 (2005), 3–32 ; English transl. in Sb. Math., 196:1 (2005), 1–28 | DOI | MR | Zbl | DOI

[39] S. A. Melikhov and E. V. Shchepin, The telescope approach to embeddability of compacta, 2006, 26 pp., arXiv: 0612085

[40] N. Brodsky, A. Chigogidze, and E. V. Ščepin, “Sections of Serre fibrations with 2-manifold fibers”, Topology Appl., 155:8 (2008), 773–782 | DOI | MR | Zbl

[41] E. V. Shchepin and K. E. Bauman, “Minimal Peano curve”, Geometry, topology, and mathematical physics. 3, Tr. Mat. Inst. Steklov., 263, MAIK ‘Nauka/Interperiodika’, Moscow, 2008, 251–271 ; English transl. in Proc. Steklov Inst. Math., 263 (2008), 236–256 | MR | Zbl | DOI

[42] E. V. Shchepin and N. Vakhania, “On the geometry, preemptions and complexity of multiprocessor and shop scheduling”, Ann. Oper. Res., 159 (2008), 183–213 | DOI | MR | Zbl

[43] N. Brodskiy (Brodsky), A. Chigogidze, and E. V. Shchepin, “Local sections of Serre fibrations with 3-manifold fibers”, Topology Appl., 157:4 (2010), 809–814 | DOI | MR | Zbl

[44] E. V. Shchepin, “On Hölder maps of cubes”, Math. Notes, 87:5-6 (2010), 757–767 | DOI | Zbl

[45] E. V. Shchepin and N. Vakhania, “A note on the proof of the complexity of the little-preemptive open-shop problem”, Ann. Oper. Res., 191 (2011), 251–253 | DOI | MR | Zbl

[46] N. K. Vereshchagin and E. V. Shchepin, Information, coding, and predicting, Moscow Center for Continuous Mathematical Education, Moscow, 2012, 236 pp. (Russian)

[47] E. V. Shchepin, “Crossing code”, Uspekhi Mat. Nauk, 68:6(414) (2013), 177–178 ; English transl. in Russian Math. Surveys, 68:6 (2013), 1142–1144 | DOI | MR | Zbl | DOI

[48] E. V. Shchepin, “In search of lost analysis”, Mathematics and reality, Faculty of Phylosophy, Moscow State University, Moscow, 2014, 496–504 (Russian)

[49] E. V. Shchepin, “The Leibniz differential and the Perron–Stieltjes integral”, Fundam. Prikl. Mat., 20:6 (2015), 237–258 ; English transl. in J. Math. Sci. (N.Y.), 233:1 (2018), 157–171 | MR | Zbl | DOI

[50] E. V. Shchepin, “Summation of unordered arrays”, Funktsional. Anal. Prilozhen., 52:1 (2018), 43–55 ; English transl. in Funct. Anal. Appl., 52:1 (2018), 35–44 | DOI | MR | Zbl | DOI

[51] A. A. Korneev and E. V. Shchepin, “$L_\infty$-locality of three-dimensional Peano curves”, Topology and physics, Tr. Mat. Inst. Steklov., 302, MAIK ‘Nauka/Interperiodika’, Moscow, 2018, 234–267 ; English transl. in Proc. Steklov Inst. Math., 302 (2018), 217–249 | DOI | MR | Zbl | DOI

[52] Yu. V. Malykhin and E. V. Shchepin, “Minimal self-similar Peano curve of genus $5\times 5$”, Dokl. Ross. Akad. Nauk Mat. Inform. Prots. Upravl., 491 (2020), 68–72 ; English transl. in Dokl. Math., 101:2 (2020), 135–138 | DOI | Zbl | DOI

[53] E. V. Shchepin, Leibniz differential and non-stantard calculus, 2020, 7 pp., arXiv: 2002.12451