Trudy Mat. Inst. Steklov., 1992, Volume 193

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1992, Volume 193

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Contents

Topology and its applications

Proceedings of the International topology conference (Baku, October 3–8, 1987)

	Preface		3
	The $F$-Ind dimension of $GF$-spaces D. P. Adnadzhevich		4
	Flows on surfaces D. V. Anosov		10
	Topology of vector fields, foliations with singularities, and homeomorphisms with invariant foliations on closed surfaces S. Kh. Aranson		15
	Questions on the possibility of extending the topologies of a ring and of a semigroup to their semigroup ring V. I. Arnautov, A. V. Mikhalev		22
	Properties of placement type: Relative strong pseudocompactness A. V. Arkhangel'skii, M. M. Genedi Khamdi		28
	On the question of equality of morphisms in closed categories A. A. Babaev		31
	The topology of configuration spaces, convex polytopes, and representations of lattices A. I. Barvinok, A. M. Vershik, N. E. Mnev		37
	Topological characteristics of infinite-dimensional mappings and the solvability of nonlinear boundary value problems Yu. G. Borisovich		42
	Combinatorics of a partial fraction decomposition A. N. Varchenko		49
	On the theory of spaces of continuous functions N. V. Velichko		53
	The dynamics of mappings of toric manifolds connected with Lie algebras A. P. Veselov		60
	The regular genus of an $n$-dimensional $PL$ manifold: Results and problems C. Gagliardi		66
	On a problem of Dodziuk V. M. Gol'dstein, V. I. Kuz'minov, I. A. Shvedov		72
	Rational homotopy type of nilpotent and complete spaces M. Golasin'ski		76
	On uniform homeomorphisms of spaces of continuous functions S. P. Gul'ko		82
	On the spectral asymptotics of the Laplacian on a fundamental domain in three-dimensional hyperbolic space G. Sh. Guseinov		89
	Shrinking 1-dimensional cell-like decompositions of 3-manifolds R. J. Daverman, D. Repovš		95
	Some combinatorial applications of homotopy theory to tournaments D. C. Demaria, M. Burzio		98
	Completeness and completing of quasiuniform spaces D. Doichinov		103
	Quadrillages and parametrizations of lattice cycles N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin		108
	On the cohomological dimension of compacta A. N. Dranishnikov		115
	On the realizability of dimension-like functions in special subclasses of the class of Tychonoff spaces L. G. Zambakhidze		121
	Mixers, functors, and soft mappings A. V. Ivanov		128
	On the fundamental polyhedron of a discrete group of motions of Lobachevsky space, its combinatorics and deformation V. S. Makarov		132
	$\beta N$ under the negation of $CH$ V. I. Malykhin		137
	The cohomological trace of differential operators with parameters A. S. Mishchenko, V. Ya. Pidstrigach		142
	On openly generated spaces B. A. Pasynkov		147
	Topological aspects of the problem of minimizing the Dirichlet functional A. I. Pluzhnikov		152
	On a property of Fréchet–Urysohn spaces of continuous functions E. G. Pytkeev		156
	Homology and cohomology. Limit passages E. G. Sklyarenko		162
	Sheaf cohomology of presheaves of sets and some of its applications E. E. Skurikhin		169
	On an integral transform of complex-analytic functions B. Yu. Sternin, V. E. Shatalov		174
	An exact formula for the index of an equivariant $C^*$-elliptic operator E. V. Troitskii		178
	On the index of minimal surfaces A. A. Tuzhilin		183
	On the Dirichlet problem for harmonic maps A. V. Tyrin		189
	Retracts of topological groups, and Dugundji compacta V. V. Uspenskii		192
	On infinite iterations of metrizable functors V. V. Fedorchuk		197
	Zeta-functions of Reidemeister and Nielsen A. L. Fel'shtyn		203
	On closed mappings of infinite-dimensional spaces R. L. Frum-Ketkov		209
	The $n$-shape functor on the category of compacta A. Ch. Chigogidze		217
	Covering homotopies and analytic mappings E. V. Shchepin		222