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"Topology: General and Algebraic Topology and Applications" ed.by L.D. Faddeev, A.A. Mal'cev
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"Topology: General and Algebraic Topology and Applications" ed.by L.D. Faddeev, A.A. Mal'cev
Lecture Notes in Mathematics, volume 1060. Proceedings of the International Topological Conference, Leningrad, August 23-27, 1983
Sðringår-Verlag | 1984 | ISBN: 0387133372 3540133372 9783540133377 | 413 pages | djvu | 5 MB
The papers in this issue reflect advances in topology and applications and to stimulate discussions for new directions and for future research. All main branches of topology were represented ranging from the most abstract branches of set-theoretical topology to the applications of geometrical ideas in theoretical physics.
The present volume is divided into three parts in according to the distribution of papers into sections. Most of the papers are reports reflecting the current research of their authors and including sketches of proofs and, in some cases, complete ones.
CONTENTS
I. GENERAL TOPOLOGY
J.J.Charatonik, Some problems on generalized homogenety of continua
W.J.Charatonik, On the property of Kelley in hyperspaces
M.M.Coban, Set-valued mappings and extension of continuous mappings
D.Doitchlnov, Supertopological spaces and a special class of extensions of topological spaces
V.V.Fedorchuk, On hypermaps, which are trivial bundles
Z.Frolik, Paracompactness of uniform spaces in the spirit of the Tamano's theorem
S.D.Iliadis, On rim-type of spaces
A.A.Ivanov, Bitopological spaces
H.J.K.Junnila, On strongly zero-dimensional Fo-metri- zable stratifiable spaces
P.Krupski, Open images of solenoids
V.Trnkova, Arithmetical properties of the product of homeomorphism types of spaces
V.M.Ulyanov, The sequential absolute and the other analogs of the absolute
A.V.Veksler, Nettings in zero-dimensional compact spaces
V.K.Zaharov, Topological characterization of the hyperstonean cover
II. ALGEBRAIC TOPOLOGY
F.-W.Bauer, The advantages of strong shape theory
Z.Cerin, On global properties of maps IV
M.S.Farber, Knots and stable homotopy
A.V.Hohlov, A.V.Pazhitnov and Ju.B.Rudjak, On the homotopical structure and applications of Morava's extraordinary K-theories
Ju.T.Lisica and S.Mardesic, Coherent prohomotopy and a strong shape category of topological spaces
E.K.Pedersen, K_i -invariants of chain complexes
O.Y.Viro, Gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7
A.V.Zarelua, Limits of local systems of topological spaces
III. APPLICATIONS OF TOPOLOGY
A. Csaszar, C(X) determines vX
D.N.Dikranjan, Divisible abelian groups admitting minimal topologies
V.A.Efremovic, E.M.Gorelik and V.V.Slikov, External torsion
B.L.Peigin and D.B.Fuchs, Verma modules over the Virasoro algebra
A.T.Fomenko, Algebraic properties of some integrable Hamiltonian systems
F.A.Gadjiev and A.A.Mal'cev, On dense subalgebras of Post algebras and Menger algebras ofcontinuous functions
S.Gahler, On equivalent existence properties in topology and in optimization theory
E.Giuli and A.Tozzi, On the lattice of epidense subcategories of a topological category
D.A.Gudkov and E.I.Shustin, On the intersection of the close algebraic curves
Ju.S.Il'asenko, The finiteness problem for limit cycles of polynomial vector fields on the plane, germs of saddle resonant vector fields and nonhausdorff Riemann surfaces
H.V.Ivanov, On the virtual cohomology dimension of the Teichmuller modular group
I.Madsen and M.Rothenberg, Equivariant transversality and automorphism groups
Siuliatsumoto, Bifurcation of the periodic points of maps of the interval
A.S.Miscenko, On some homotopy invariants of pseudoriemannian metrics
R.T.Plykin, Hyperbolic attractors of codimension one
V.G.Turaev, Hilpotent homotopy types of closed 3-manifolds
E.Vesentini, Some recent advances in the spectral theory of locally convex algebras
H.Zieschang, Classification of Montesinos knots

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The papers in this issue reflect advances in topology and applications and to stimulate discussions for new directions and for future research. All main branches of topology were represented ranging from the most abstract branches of set-theoretical topology to the applications of geometrical ideas in theoretical physics.
The present volume is divided into three parts in according to the distribution of papers into sections. Most of the papers are reports reflecting the current research of their authors and including sketches of proofs and, in some cases, complete ones.
CONTENTS
I. GENERAL TOPOLOGY
J.J.Charatonik, Some problems on generalized homogenety of continua
W.J.Charatonik, On the property of Kelley in hyperspaces
M.M.Coban, Set-valued mappings and extension of continuous mappings
D.Doitchlnov, Supertopological spaces and a special class of extensions of topological spaces
V.V.Fedorchuk, On hypermaps, which are trivial bundles
Z.Frolik, Paracompactness of uniform spaces in the spirit of the Tamano's theorem
S.D.Iliadis, On rim-type of spaces
A.A.Ivanov, Bitopological spaces
H.J.K.Junnila, On strongly zero-dimensional Fo-metri- zable stratifiable spaces
P.Krupski, Open images of solenoids
V.Trnkova, Arithmetical properties of the product of homeomorphism types of spaces
V.M.Ulyanov, The sequential absolute and the other analogs of the absolute
A.V.Veksler, Nettings in zero-dimensional compact spaces
V.K.Zaharov, Topological characterization of the hyperstonean cover
II. ALGEBRAIC TOPOLOGY
F.-W.Bauer, The advantages of strong shape theory
Z.Cerin, On global properties of maps IV
M.S.Farber, Knots and stable homotopy
A.V.Hohlov, A.V.Pazhitnov and Ju.B.Rudjak, On the homotopical structure and applications of Morava's extraordinary K-theories
Ju.T.Lisica and S.Mardesic, Coherent prohomotopy and a strong shape category of topological spaces
E.K.Pedersen, K_i -invariants of chain complexes
O.Y.Viro, Gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7
A.V.Zarelua, Limits of local systems of topological spaces
III. APPLICATIONS OF TOPOLOGY
A. Csaszar, C(X) determines vX
D.N.Dikranjan, Divisible abelian groups admitting minimal topologies
V.A.Efremovic, E.M.Gorelik and V.V.Slikov, External torsion
B.L.Peigin and D.B.Fuchs, Verma modules over the Virasoro algebra
A.T.Fomenko, Algebraic properties of some integrable Hamiltonian systems
F.A.Gadjiev and A.A.Mal'cev, On dense subalgebras of Post algebras and Menger algebras ofcontinuous functions
S.Gahler, On equivalent existence properties in topology and in optimization theory
E.Giuli and A.Tozzi, On the lattice of epidense subcategories of a topological category
D.A.Gudkov and E.I.Shustin, On the intersection of the close algebraic curves
Ju.S.Il'asenko, The finiteness problem for limit cycles of polynomial vector fields on the plane, germs of saddle resonant vector fields and nonhausdorff Riemann surfaces
H.V.Ivanov, On the virtual cohomology dimension of the Teichmuller modular group
I.Madsen and M.Rothenberg, Equivariant transversality and automorphism groups
Siuliatsumoto, Bifurcation of the periodic points of maps of the interval
A.S.Miscenko, On some homotopy invariants of pseudoriemannian metrics
R.T.Plykin, Hyperbolic attractors of codimension one
V.G.Turaev, Hilpotent homotopy types of closed 3-manifolds
E.Vesentini, Some recent advances in the spectral theory of locally convex algebras
H.Zieschang, Classification of Montesinos knots

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