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The Pseudo-hyperresolution and Applications
Nguyen The Cuong
Homological algebra techniques can be found in almost all modern areas of mathematics. Many interesting problems in mathematics can be formulated, computed, or can find their equiv…
Algebraic EHP sequences
The Cuong Nguyen
The James fibrations give rise to the geometric EHP sequences of homotopy groups of spheres. Using techniques from the Lambda algebra, \cite{BCKQRS66} shows that there are similar…
Sur la torsion de Frobenius de la catégorie des modules instables
The Cuong Nguyen
In the category of strict polynomial functors, the morphisms between extension groups induced by the Frobenius twist are injective. In \cite{Cuo14a}, the category…
Around conjectures of N. Kuhn
Nguyen The Cuong, Gérald Gaudens, Geoffrey Powell +1
We discuss two extensions of results conjectured by Nick Kuhn about the non-realization of unstable algebras as the mod singular cohomology of a space, for a prime. The fir…
Some finiteness results in the category U
Nguyen The Cuong, Lionel Schwartz
This note investigate some finiteness properties of the category U of unstable modules. One shows finiteness properties for the injective resolution of finitely generated unstable…