Integral Cohomology of Finite Postnikov Towers Th`ese de doctorat Page 1 I nstitut de M ath é
matiques Integral Cohomology of Finite Postnikov Towers Th`ese de doctorat présentée `a la …

We characterize Hopf spaces with finitely generated cohomology as an algebra over the
Steenrod algebra. We “deconstruct” the original space into an H-space Y with finite mod p …

We investigate the topological nilpotence degree, in the sense of Henn–Lannes–Schwartz,
of a connected Noetherian unstable algebra R. When R is the mod p cohomology ring of a …

We present a constructive method to compute the cellularization with respect to $
B^{m}\mathbb {Z}/p $ for any integer $ m\geq 1$ of a large class of $ H $-spaces, namely all …

The aim of this paper is to prove in full generality that a 1-connected mod p H-space with
noetherian mod p cohomology is, up to p-completion, the total space of a principal fibration …

We investigate when a commutative ring spectrum R satisfies a homotopical version of local
Gorenstein duality, extending the notion previously studied by Greenlees. In order to do this …

Higher homotopy in the theory of H-spaces started from the works by Sugawara in the
1950th. In this paper we review the development of the theory of H-spaces associated with it …

Suppose X is a simply connected mod p H-space such that the mod p cohomology H∗(Ω X)
is a finitely generated algebra. We show that the loop space Ω X is homotopy equivalent to a …

In this paper, we give a combinatorial definition of a higher homotopy commutativity of the
multiplication for an $ A_n $-space. To give the definition, we use polyhedra called the …

We show that a simply connected homotopy associative and homotopy commutative mod $3
$$ H $-space with finitely generated mod $3 $ cohomology is homotopy equivalent to a finite …