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 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.
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
A complement to the theory of equivariant finiteness obstructions
It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family of elements of the groups . We prove that every family of elements of the groups can be realized as the family of equivariant finiteness obstructions 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...
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
A genus for N-dimensional knots and links.
A geometric decomposition of spaces into cells of different types.