The group of concordance classes of high dimensional homotopy spheres knotted in codimension two in the standard sphere has an intricate algebraic structure which this paper unravels. The first level of invariants is given by the classical Alexander polynomial. By means of a tra…
The geometrical techniques in piecewise linear topology are extended to the situation where one has a projection which must be preserved. These include general position, sunny collapsing and engulfing. They are employed to study the relative homotopy groups of the simplicial spa…
The geometrical techniques in piecewise linear topology are extended to the situation where one has a projection which must be preserved. These include general position, sunny collapsing and engulfing. They are employed to study the relative homotopy groups of the simplicial spa…
The geometrical techniques in piecewise linear topology are extended to the situation where one has a projection which must be preserved. These include general position, sunny collapsing and engulfing. They are employed to study the relative homotopy groups of the simplicial spa…
This memoir contains a careful, detailed proof of the multiple disjunction lemma for smooth concordance embeddings of codimension [greater than or equal to] 3. A great deal of the paper addresses the construction and derivation of properties of the algebraic stratification of th…