Table of contents

Volume 55

Number 6, December 2000

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

1135
Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds

, , and

View article, Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds PDF, Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds
https://doi.org/10.1070/RM2000v055n06ABEH000336
1137
Actions of pointlike Hopf algebras on quantum polynomials

View article, Actions of pointlike Hopf algebras on quantum polynomials PDF, Actions of pointlike Hopf algebras on quantum polynomials
https://doi.org/10.1070/RM2000v055n06ABEH000337
1139
Controllability of inequalities at 2-singular points

and

View article, Controllability of inequalities at 2-singular points PDF, Controllability of inequalities at 2-singular points
https://doi.org/10.1070/RM2000v055n06ABEH000319
1141
On the inverse problem for the Grad-Shafranov equation with affine right-hand side

View article, On the inverse problem for the Grad-Shafranov equation with affine right-hand side PDF, On the inverse problem for the Grad-Shafranov equation with affine right-hand side
https://doi.org/10.1070/RM2000v055n06ABEH000340
1143
Extrema of linear functionals on finite-dimensional spaces

, and

View article, Extrema of linear functionals on finite-dimensional spaces PDF, Extrema of linear functionals on finite-dimensional spaces
https://doi.org/10.1070/RM2000v055n06ABEH000341
1146
Polycycles: symmetry and embeddability

and

View article, Polycycles: symmetry and embeddability PDF, Polycycles: symmetry and embeddability
https://doi.org/10.1070/RM2000v055n06ABEH000339
1148
Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity

, and

View article, Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity PDF, Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity
https://doi.org/10.1070/RM2000v055n06ABEH000338
1150
Steiner ratio for Riemannian manifolds

, and

View article, Steiner ratio for Riemannian manifolds PDF, Steiner ratio for Riemannian manifolds
https://doi.org/10.1070/RM2000v055n06ABEH000344
1152
Topology lattices of unary algebras

View article, Topology lattices of unary algebras PDF, Topology lattices of unary algebras
https://doi.org/10.1070/RM2000v055n06ABEH000345
1154
Homology groups of nilpotent subalgebras of the Lie superalgebra K(1,1). II

View article, Homology groups of nilpotent subalgebras of the Lie superalgebra K(1,1). II PDF, Homology groups of nilpotent subalgebras of the Lie superalgebra K(1,1). II
https://doi.org/10.1070/RM2000v055n06ABEH000346
1157
Super-second quantisation and entropy quantisation with charge conservation

View article, Super-second quantisation and entropy quantisation with charge conservation PDF, Super-second quantisation and entropy quantisation with charge conservation
https://doi.org/10.1070/RM2000v055n06ABEH000347
1159
On a class of operators connected with second-order differential equations

View article, On a class of operators connected with second-order differential equations PDF, On a class of operators connected with second-order differential equations
https://doi.org/10.1070/RM2000v055n06ABEH000348
1161
Infinite-dimensional quadratic Volterra operators

View article, Infinite-dimensional quadratic Volterra operators PDF, Infinite-dimensional quadratic Volterra operators
https://doi.org/10.1070/RM2000v055n06ABEH000349
1163
Topological classification of unitary functions of arbitrary genus

and

View article, Topological classification of unitary functions of arbitrary genus PDF, Topological classification of unitary functions of arbitrary genus
https://doi.org/10.1070/RM2000v055n06ABEH000350
1165
Approximate computation of integrals for functions in

and

View article, Approximate computation of integrals for functions in PDF, Approximate computation of integrals for functions in
https://doi.org/10.1070/RM2000v055n06ABEH000351
1168
First-order regularised trace of the Sturm-Liouville operator with δ-potential

View article, First-order regularised trace of the Sturm-Liouville operator with δ-potential PDF, First-order regularised trace of the Sturm-Liouville operator with δ-potential
https://doi.org/10.1070/RM2000v055n06ABEH000352
1170
On the classification of two-dimensional local skew fields. II

View article, On the classification of two-dimensional local skew fields. II PDF, On the classification of two-dimensional local skew fields. II
https://doi.org/10.1070/RM2000v055n06ABEH000342
1172
The isoperimetric inequality on sub-Riemannian manifolds of conformally-hyperbolic type

and

View article, The isoperimetric inequality on sub-Riemannian manifolds of conformally-hyperbolic type PDF, The isoperimetric inequality on sub-Riemannian manifolds of conformally-hyperbolic type
https://doi.org/10.1070/RM2000v055n06ABEH000343
1175
Sofya Kovalevskaya: a mathematician and a person

View article, Sofya Kovalevskaya: a mathematician and a person PDF, Sofya Kovalevskaya: a mathematician and a person
https://doi.org/10.1070/RM2000v055n06ABEH000353
1193
Yuri Leonidovich Ershov (on his 60th birthday)

, and

View article, Yuri Leonidovich Ershov (on his 60th birthday) PDF, Yuri Leonidovich Ershov (on his 60th birthday)
https://doi.org/10.1070/RM2000v055n06ABEH000354
1205
Nikolai Pavlovich Korneichuk (on his 80th birthday)

, and

View article, Nikolai Pavlovich Korneichuk (on his 80th birthday) PDF, Nikolai Pavlovich Korneichuk (on his 80th birthday)
https://doi.org/10.1070/RM2000v055n06ABEH000355
1015
Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

View article, Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity PDF, Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

We study the problem of reconstructing the potential of the two-dimensional Schrödinger operator from scattering data measured at fixed energy. This problem, in contrast to the general multidimensional inverse problem, possesses an infinite-dimensional symmetry algebra generated by the Novikov-Veselov hierarchy and hence is "exactly soluble" in some sense; the complexity of the answer is approximately the same as in the one-dimensional problem. We make heavy use of methods developed in modern soliton theory. Since the quantum fixed-energy scattering problem is mathematically equivalent to the acoustic single-frequency scattering problem, we see that the results of the present paper apply in both cases.

https://doi.org/10.1070/RM2000v055n06ABEH000333
1085
Asymptotic topology

View article, Asymptotic topology PDF, Asymptotic topology

In this paper we study the similarity between local topology and its global analogue, so-called asymptotic topology. In the asymptotic case, the notions of dimension, cohomological dimension, and absolute extensor are introduced and some basic facts about them are proved. The Higson corona functor establishing a connection between macro- and micro-topology is considered. A relationship between problems of general asymptotic topology and the Novikov conjecture on higher signatures is discussed. Some new results concerning the Novikov conjecture and other related conjectures are presented.

https://doi.org/10.1070/RM2000v055n06ABEH000334
1131
Faramaz Gazanfar ogly Maksudov (obituary)

, and

View article, Faramaz Gazanfar ogly Maksudov (obituary) PDF, Faramaz Gazanfar ogly Maksudov (obituary)
https://doi.org/10.1070/RM2000v055n06ABEH000335