The size of triangulations supporting a given link.
The Smale invariant of a knot.
The surjectivity problem for one-generator, one-relator extensions of torsion-free groups.
The Topological-Euclidean Space Form Problem.
The transfer maps induced in the algebraic K...- and K...-groups by a fibration I.
The universal functorial Lefschetz invariant
We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and -torsion of mapping tori. We examine its behaviour under fibrations.
The Universal Smooth Surgery Class.
The whitehead theorem in the proper category
The Whitehead transfer homomorphism for oriented S...-bundles.
The writhes of a virtual knot
Kauffman introduced a fundamental invariant of a virtual knot called the odd writhe. There are several generalizations of the odd writhe, such as the index polynomial and the odd writhe polynomial. In this paper, we define the n-writhe for each non-zero integer n, which unifies these invariants, and study various properties of the n-writhe.
There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes
Two mappings from a CW-complex to a 1-dimensional CW-complex are homotopic if and only if their restrictions to finite subcomplexes are homotopic.
Three-dimensional pseudomanifolds on eight vertices.
Tight embeddings of simply connected 4-manifolds.
Tight Polyhedral Klein Bottles, Projective Planes, and Möbius Bands.
Topology of families of affine plane curves
We determine bifurcation sets of families of affine curves and study the topology of such families.
Torsion, TQFT, and Seiberg-Witten invariants of 3-manifolds.
Total cofibres of diagrams of spectra.
Total curvature for knotted surfaces.
Toward a general theory of linking invariants.
Transversality Theories at Dimension Four.