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

1983, Volume 154

| General information | Contents |


Topology


A collection of papers

From the editor
P. S. Aleksandrov
3
Parametric canonical homology and cohomology groups over pairs of copresheaves and presheaves, respectively
D. O. Baladze
7
The current state of Alexander–Pontryagin duality
F. W. Bauer
11
Axiomatics of the Steenrod–Sitnikov homology theory on the category of compact Hausdorff spaces
N. A. Berikashvili
24
Brown–Gitler spectrum, the space $\Omega^2S^3$ and the elements $\eta_j\in\Pi_{2^j}$
E. H. Brown Jr., F. P. Peterson
38
Lipschitz topology
J. Väisälä
44
The ring of symplectic cobordisms
V. V. Vershinin
49
Linearization of actions of locally compact groups
J. de Vries
53
Some unsolvable questions relating to Radon measures
R. J. Gardner, W. F. Pfeffer
71
Duality, trace and transfer
A. Dold, D. Puppe
81
Limits of local systems of sheaves and zero-dimensional mappings
A. V. Zarelua
98
Local analysis of nonlinear Fredholm equations
V. R. Zachepa, Yu. I. Sapronov
113
Cardinals as orbits of groups of automorphisms of ordered sets
S. P. Zervos
118
Equivariant absorptions and recognition of linear actions on spheres
Sören Illman
124
An existence theorem for an infinite set of closed geodesics
W. Klingenberg, Y. Shikata
127
Resolutions of generalized manifolds
R. C. Lacher
137
Spherical space forms in the dimension equal to the period
I. H. Madsen
151
The functor $\operatorname{Ext}^n$
L. Mdzinarishvili
180
A survey of dimension theory. III
J.-i. Nagata
186
An abstract approach to the algebraic notion of a spectrum
I. R. Prodanov
200
Maximally decomposable spaces
E. G. Pytkeev
209
Postnikov decompositions of a fibration with $K(\pi,n)$ fiber
T. N. Savitskaya
214
A new application of topology in summability theory
F. Terpe
216
Some results in the topology of manifolds, the theory of multivalued mappings and Morse theory
Yu. Yu. Trokhimchuk, Yu. B. Zelinskii, V. V. Sharko
222
Fundamental groups of three-dimensional manifolds and Poincaré duality
V. G. Turaev
231
Normally situated subspaces
V. V. Filippov
239
Topological semifields and Boolean algebras corresponding to them
J. Flachsmeyer
252
Construction of smooth and PL structures on a manifold
B. Hajduk
264
Some generalizations of homogeneity of spaces
J. J. Charatonik
267
The method of $\varphi $-transformations and some of its applications in graph theory
N. P. Khomenko
275
Subgroups of a free product of cyclic groups
H. Zieschang
284
Mappings and dimension properties of spaces
M. M. Choban
296
Minimal resolvents and Morse functions
V. V. Sharko
306


© Steklov Math. Inst. of RAS, 2025