On the Čech and axiomatic cohomology of product spaces
On the Chow rings of classifying spaces for classical groups
On the cohomology of some Hopf algebroids and Hattori-Stong theorems.
On the first homology of Peano continua
We show that the first homology group of a locally connected compact metric space is either uncountable or finitely generated. This is related to Shelah's well-known result (1988) which shows that the fundamental group of such a space satisfies a similar condition. We give an example of such a space whose fundamental group is uncountable but whose first homology is trivial, showing that our result does not follow from Shelah's. We clarify a claim made by Pawlikowski (1998) and offer a proof of the...
On the functoriality of stratified desingularizations.
On the fundamental dimension of approximatively 1-connected compacta
On the geometry of polynomial mappings at infinity
We associate to a given polynomial map from to itself with nonvanishing Jacobian a variety whose homology or intersection homology describes the geometry of singularities at infinity of this map.
On the Groups JOGX. I.
On the Holonomic Systems of Linear Differential Equations, II.
On the homology of the Harmonic Archipelago
We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.
On the Homology Structure of Submersions.
On the homology theory of discrete spaces
On the Hurewicz theorem for wedge sum of spheres.
On the Iterated Complex Transfer.
On the level of projective spaces.
On the loop homology of complex projective spaces
In this short note we compute the Chas-Sullivan BV-algebra structure on the singular homology of the free loop space of complex projective spaces. We compare this result with computations in Hochschild cohomology.
On the motivic spectra representing algebraic cobordism and algebraic -theory.
On the Novikov complex for rational Morse forms
On the Number of Relations in The Cohomology of A Fixed Point Set.
On the realization of unstable modules. (Sur la realisation des modules instables.)