Add to ORKGAbstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of based maps in the component of the trivial map between two pointed connected CW-complexes X and Y. For that, we introduce the notion of H(n)-space and prove that we have an H-space structure on F∗(X,Y, ∗) if Y is an H(n)-space and X is of Lusternik-Schnirelmann category less than or equal to n. When we consider the rational homotopy type of nilpotent finite type CW-complexes, the exis-tence of an H(n)-space structure can be easily detected on the minimal model and coincides with the differential length considered by Y. Kotani. When X is finite, using the Haefliger model for function spaces, we can prove that the rational cohomology of F∗(X,Y,...
For m >= n > 0, a map f between pointed spaces is said to be a weak [n,m]-equivalence if f induces i...
ABSTRACT. Let M(X, Y) denote the space of all continuous functions between X and Y and Mf (X, Y) the...
AbstractFelix and Lemaire's geometric mapping theorem for the Lusternik-Schnirelmann categories of s...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
We investigate the existence of an H-space structure on the function space, F-*(X,Y,*), of based map...
In this paper we describe explicit L∞ algebras modeling the rational homotopy type of any component ...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f: X → X any map and pk:...
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f: X → X any map and pk:...
In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency...
We study the rational homotopy of function spaces within the con-text of Quillen's minimal mode...
The spaces considered throughout are H-spaces and the maps are usually H-maps, fibrations or cofibra...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
For m >= n > 0, a map f between pointed spaces is said to be a weak [n,m]-equivalence if f induces i...
ABSTRACT. Let M(X, Y) denote the space of all continuous functions between X and Y and Mf (X, Y) the...
AbstractFelix and Lemaire's geometric mapping theorem for the Lusternik-Schnirelmann categories of s...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
We investigate the existence of an H-space structure on the function space, F-*(X,Y,*), of based map...
In this paper we describe explicit L∞ algebras modeling the rational homotopy type of any component ...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let F.X;Y / be the space of base-point-preserving maps from a connected finite CW complex X to a con...
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f: X → X any map and pk:...
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f: X → X any map and pk:...
In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency...
We study the rational homotopy of function spaces within the con-text of Quillen's minimal mode...
The spaces considered throughout are H-spaces and the maps are usually H-maps, fibrations or cofibra...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
For m >= n > 0, a map f between pointed spaces is said to be a weak [n,m]-equivalence if f induces i...
ABSTRACT. Let M(X, Y) denote the space of all continuous functions between X and Y and Mf (X, Y) the...
AbstractFelix and Lemaire's geometric mapping theorem for the Lusternik-Schnirelmann categories of s...