"Fundamentalnaya i Prikladnaya Matematika" ("Fundamental and Applied Mathematics") Volume 4 (1998), number 1

Research Papers Dedicated to the 100th Anniversary of P.S.Alexandroff's Birth

 Yu.M.Smirnov On major results of P.S.Alexandroff 1-10 S.A.Bogatyi Ljusternik--Schnirelman theorem and $\beta f$ 11-38 N.V.Velichko On sequential completeness of $C$λ(X) 39-47 D.N.Georgiou, S.D.Iliadis Rational $n$-dimensional spaces and the property of universality 49-74 A.S.Gul'ko On one sufficient condition for complete regularity of rectifiable spaces 75-79 A.V.Zarelua Algebraic structure of function rings of some universal spaces 81-100 M.M.Zarichny Strongly countable-dimensional resolvents of sigma-compact groups 101-108 A.Yu.Zoubov Germs of sets and functions in fibrewise general topology 109-117 A.A.Ivanov Bitopologies of products and ratios 119-125 K.L.Kozlov On \$\varkappa\$-closed images of subsets of topological products 127-134 A.P.Kombarov Weak normality of $2X$ and of $X\tau$ 135-140 H.Junnila, H.-P.A.Künzi, S.Watson On aclass of hereditarily paracompact spaces 141-154 B.A.Pasynkov On geometry of continuous mappings of countable functional weight 155-164 V.V.Fedorchuk Tensor product of Radon probability measures is $\tau$-additive 165-180 A.N.Yakivchik Subnormal spaces and a Dowker-type problem 181-186

Research Papers

 V.N.Bezverkhnii On the intersection subgroups HNN-groups 199-222 I.D.Bunu On rings over which the latice of all pretorsions has only one maximal element 223-231 I.P.Volobuev, V.O.Malyshenko Exact solutions of wormhole type in Einstein--Yang--Mills-systems with extra space-time dimensions 233-244 A.G.Karapetian Anestimate of the minimum of the absolute value of trigonometric polynomials with random coefficients 245-302 V.I.Levankov Limit Koszul cohomology and torsion theory 303-315 E.Yu.Panov On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation 317-332 O.S.Rosanova On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces 333-344 V.E.Shestopal Strengthening of localization theorems of Ger\v{s}gorin and Brauer 345-358 D.V.Juriev Dynamical inverse problem of representation theory and noncommutative geometry 359-365

Mathematical Enlightenment

 E.E.Demidov The Kadomtsev--Petviashvili hierarchy and the Schottky problem 367-460

Short Communications

 In memory of N.A.Sveshnikov 471 In memory of N.N.Kolesnikov 473

 E. G. Shulgeifer Correction to the article "On categorical equivalence of polysort algebra varieties to monosort algebra varieties" (Fundamentalnaya i Prikladnaya Matematika. -- 1996. -- V. 2, no. 1. -- P. 279-288) 477

All articles are published in Russian.

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