A note on singularities in ANR's
A note on strong Jordan separation.
A note on symmetric maps for spheres.
A note on tangentially equivalent manifolds
A Note on the algebra P(n) * (P(n)) for the Prime 2.
A note on the cohomology ring of the oriented Grassmann manifolds
We use known results on the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold to compute the generators of the –cohomology groups for . Drawing from the similarities of these examples with the general description of the cohomology rings of we conjecture some predictions.
A note on the converse of the Lefschetz theorem for G-maps
The purpose of this note is to prove the converse of the Lefschetz fixed point theorem (CLT) together with an equivariant version of the converse of the Lefschetz deformation theorem (CDT) in the category of finite G-simplicial complexes, where G is a finite group.
A note on the Hurewicz isomorphism theorem in Borsuk's theory of shape
A note on the Stanley-Reisner ring of a join and of a suspension.
A note on the theorems of Lusternik-Schnirelmann and Borsuk-Ulam
Let p be a prime number and X a simply connected Hausdorff space equipped with a free -action generated by . Let be a homeomorphism generating a free -action on the (2n-1)-sphere, whose orbit space is some lens space. We prove that, under some homotopy conditions on X, there exists an equivariant map . As applications, we derive new versions of generalized Lusternik-Schnirelmann and Borsuk-Ulam theorems.
A note on the transfer map.
A note on universal maps
A Poincaré duality type theorem for polyhedra
If is a -dim polyhedran, then using geometric techniques, we construct groups and such that there are natural isomorphisms and which induce an intersection pairing. These groups give a geometric interpretation of two spectral sequences studied by Zeeman and allow us to prove a conjecture of Zeeman about them.
A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms.
A Priddy-type Koszulness criterion for non-locally finite algebras
A celebrated result by S. Priddy states the Koszulness of any locally finite homogeneous PBW-algebra, i.e. a homogeneous graded algebra having a Poincaré-Birkhoff-Witt basis. We find sufficient conditions for a non-locally finite homogeneous PBW-algebra to be Koszul, which allows us to completely determine the cohomology of the universal Steenrod algebra at any prime.
A product involving the -family in stable homotopy theory.
A Product Theorem in Dimension.
A property of the degree filtration of polynomial functors.
A propos de conjectures de Serre et Sullivan.
À propos de l'article «Sur la cohomologie réelle des groupes de Lie simples réels»