Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
Secondary cohomology and the Steenrod square.
Some new results on composition of quadratic forms.
State-sum invariants of knotted curves and surfaces from quandle cohomology.
Successive homology operations and their applications
Sur la cohomologie réelle des groupes de Lie simples réels
Sur la dualité de Poincaré.
Sur l'algebre de Lie des Champs de Vecteurs
The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
The cohomology of holomorphic self maps of the Riemann sphere.
The fixed-point conjecture and monoids on a manifold with boundary.
The Generalized Smith Indices. I.
The Generalized Smith Indices. II.
T-homotopy and refinement of observation. III. Invariance of the branching and merging homologies.
Topological bar-codes of fractals: a new characterization of symmetric binary fractal trees
The goal of this paper is to provide foundations for a new way to classify and characterize fractals using methods of computational topology. The fractal dimension is a main characteristic of fractal-like objects, and has proved to be a very useful tool for applications. However, it does not fully characterize a fractal. We can obtain fractals with the same dimension that are quite different topologically. Motivated by techniques from shape theory and computational topology, we consider fractals...
Topological Order Complexes and Resolutions of Discriminant Sets
Topological order complexes and resolutions of discriminant sets.
Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
Towards the algebra structure of the Morava k-theory of the orthogonal groups.
Über die Cohomologie von komplexen Stiefel-Mannigfaltigkeiten.