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A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y].We will give here a characterization of 2-knot...

A characterization of movable compacta.

Friedrich W. Bauer (1977)

Journal für die reine und angewandte Mathematik

A class of 4-pseudomanifolds similar to the lense spaces.

Anna Donati (1987)

Aequationes mathematicae

A combinatorial characterization of 4-dimensional handlebodies.

Maria Rita Casali (1992)

Forum mathematicum

A combinatorial characterization of planar 2-complexes

Jonathan L. Gross, Ronald H. Rosen (1981)

Colloquium Mathematicae

A combinatorial theorem for a symmetric triangulation of the sphere $S^{2}$

Władysław Kulpa, Marian Turzański (2001)

Acta Universitatis Carolinae. Mathematica et Physica

A complement to the theory of equivariant finiteness obstructions

Paweł Andrzejewski (1996)

Fundamenta Mathematicae

It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family $w_{α}^{H} (X)$ of elements of the groups $K_{0} (ℤ [π_{0} {(W H (X))}_{α}^{*}])$ . We prove that every family $w_{α}^{H}$ of elements of the groups $K_{0} (ℤ [π_{0} {(W H (X))}_{α}^{*}])$ can be realized as the family of equivariant finiteness obstructions $w_{α}^{H} (X)$ of an appropriate finitely dominated G-complex X. As an application of this result we show the natural equivalence of the geometric construction of equivariant finiteness obstruction ([5], [6]) and equivariant generalization of Wall’s obstruction...

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15-vertex triangulations of an 8-manifold.

4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.

A 2-complex is collapsible if and only if it admits a strongly convex metric

A Chain Level Transfer Homomorphism.

A characterization of 2-knots groups.

A characterization of movable compacta.

A class of 4-pseudomanifolds similar to the lense spaces.

A combinatorial characterization of 4-dimensional handlebodies.

A combinatorial characterization of planar 2-complexes

A combinatorial theorem for a symmetric triangulation of the sphere $S^{2}$

A complement to the theory of equivariant finiteness obstructions

A Concordance Classification of p. 1. Homeomorphisms of Real Projective Space.

A construction of a CW-decomposition of s-cubes which are manifolds

A correction to a paper of H. King.

A Euclidean geometric invariant of framed (Un)Knots in manifolds.

A factorization lemma and its application to realization of mappings as inverse limits

A functional relation in stable knot theory.

A general approximation theorem for Hilbert cube manifolds

A general theory of polyhedral sets and the corresponding T-complexes [Book]

A generalization of cohomotopy groups

Currently displaying 1 – 20 of 507