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Article
Relations in the homeotropy group of a complete pretzel and the group of plat braids
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Article
Structure of the second homotopy group of the union of two spaces
In this paper we give a representation of the two-dimensional homotopy group of the union of two spaces as a suitable quotient-group and some applications of it.
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Article
Generalized surgery of three-dimensional manifolds and representations of homology spheres
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Article
Zeeman's conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture
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Article
Morse-type theory for integrable Hamiltonian systems with tame integrals
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Article
Additivity of complexity and Haken's method in the topology of three-dimensional manifolds
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Chapter
H
Algebras with one ternary operation that satisfies certain identities.
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Chapter
P
A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime numbers). The class of π-separable groups contains the class of π-solvable groups (cf.
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Chapter
H
A Hausdorff space which, under any topological imbedding into an arbitrary Hausdorff space Y, is a closed set in Y. The characteristic property of an H-closed space is that any open covering of the space contains...
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Chapter
E
ϵ-ENTROPY of a set in a metric space - The logarithm to the base 2 of the smallest number of points in an ϵ-net for this set. In other words, the ϵ-entropy ℋϵ(C, X) of a set C lying in a metric space (X, ρ)
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Article
Three-manifolds. Classical results
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Article
On a simple invariant of Turaev-Viro type
For 3-manifolds, we define an invariant t(M)=a+bε, where a,b are integers and \(\varepsilon = (1 \pm \sqrt 5 )/2\) ....
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Article
Construction and Properties of the t-Invariant
Special spine theory is used for constructing a new invariant of compact 3-manifolds: the t-invariant. The behavior of the invariant under (boundary) connected sum is investigated. One of the Turaev―Viro invarian...
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Article
Two-sided complexity bounds for Löbell manifolds
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Article
Decomposition of homologically trivial knots in F × I
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Article
Reduction of knots in thickened surfaces and virtual knots
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Article
On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov
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Article
The structure of 3-manifolds of complexity zero
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Article
Classification of Knots of Small Complexity in Thickened Tori
We present a table of knots in a thickened torus T × I the diagrams of which have less than five crossing points. The knots are constructed by a three-step process: enumeration of regular graphs of degree 4, e...
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Article
Dijkgraaf-Witten invariants over ℤ2 for 3-manifolds