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.)
On the Steenrod operations in cyclic cohomology.
On the uniqueness problem of bivariant Chern classes.
On the Whitehead Theorem in shape theory
On total homology
On universality of countable and weak products of sigma hereditarily disconnected spaces
Suppose a metrizable separable space Y is sigma hereditarily disconnected, i.e., it is a countable union of hereditarily disconnected subspaces. We prove that the countable power of any subspace X ⊂ Y is not universal for the class ₂ of absolute -sets; moreover, if Y is an absolute -set, then contains no closed topological copy of the Nagata space = W(I,ℙ); if Y is an absolute -set, then contains no closed copy of the Smirnov space σ = W(I,0). On the other hand, the countable power of...