We prove that every finite group G can be realized as the group of self-homotopy
equivalences of infinitely many elliptic spaces X. To construct those spaces we introduce a …

Let $ X $ be a simply connected rational elliptic space of formal dimension $ n $ and let
$\mathcal {E}(X) $ denote the group of homotopy classes of self-equivalences of $ X $. If …

Abstract Let R ⊆\mathbb QR⊆ Q be a ring with least non-invertible prime p p. Let X= X^ n ∪
_ α (⋃ _ j ∈ J e^ q) X= X n∪ α (⋃ j∈ J eq) be a cell attachment with JJ finite and qq small …

Let $ X $ be a simply connected rational CW complex of finite type. Write $ X^{[n]} $ for the $
n\text {th} $ Postnikov section of $ X $. Let $\mathcal E (X^{[n+ 1]}) $ denote the group of …

Let X be a CW complex, E (X) the group of homotopy classes of self-homotopy equivalences
of X and E∗(X) its subgroup of the elements that induce the identity on homology. This paper …

Let $ R $ be a principal ideal domain (PID). For a simply connected CW-complex $ X $ of
dimension $ n $, let $ Y $ be a space obtained by attaching cells of dimension $ q $ to $ X …

Let $ R $ be a (PID) and let $ T (V),\partial) $ be a free $ R $-dga. The quasi-isomorphism
type of $(T (V),\partial) $ is the set, denoted $\{(T (V),\partial)\} $, of all free dgas which are …

This paper defines an invariant associated to Whitehead's certain exact sequence of a
simply connected CW-complex which is much more elementary-and less powerful-than the …

Abstract Let E (X) E (X) be the group of homotopy classes of self homotopy equivalences for
a connected CW complex X. We consider two classes of maps, E E-maps and co-E E-maps …