AbstractIn this paper we consider the theory of higher order homotopy coalgebras as a collection of spaces between co-H-spaces and suspensions, which dualizes Stasheff's theory of Ak-spaces when these are defined through Ak-structures. Moreover we extend two Berstein–Hilton theorems which deal with the primitive homotopy type of a suspension and the class of a suspension map, respectively
AbstractFor any coalgebra C, we can consider the category of all right C-comodules MC, which is an a...
In a first part we establish some structural results on the cobar construction. The goal is to obtai...
The spaces considered throughout are H-spaces and the maps are usually H-maps, fibrations or cofibra...
AbstractIn this paper we consider the theory of higher order homotopy coalgebras as a collection of ...
AbstractLet X be a k-fold homotopy coalgebra of order j with respect to the pair of adjoint functors...
AbstractLet X be a k-fold homotopy coalgebra of order j with respect to the pair of adjoint functors...
We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces w...
Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Homotopy Type Theory is a new field of mathematics based on the recently-discovered correspon-dence ...
Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branche...
Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branche...
ABSTRACT. This paper studies the homotopy theory of algebras and homotopy algebras over an operad. I...
AbstractWe study here the homotopy structure of Sha, the category of strongly homotopy associative a...
AbstractFor any coalgebra C, we can consider the category of all right C-comodules MC, which is an a...
In a first part we establish some structural results on the cobar construction. The goal is to obtai...
The spaces considered throughout are H-spaces and the maps are usually H-maps, fibrations or cofibra...
AbstractIn this paper we consider the theory of higher order homotopy coalgebras as a collection of ...
AbstractLet X be a k-fold homotopy coalgebra of order j with respect to the pair of adjoint functors...
AbstractLet X be a k-fold homotopy coalgebra of order j with respect to the pair of adjoint functors...
We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces w...
Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Homotopy Type Theory is a new field of mathematics based on the recently-discovered correspon-dence ...
Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branche...
Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branche...
ABSTRACT. This paper studies the homotopy theory of algebras and homotopy algebras over an operad. I...
AbstractWe study here the homotopy structure of Sha, the category of strongly homotopy associative a...
AbstractFor any coalgebra C, we can consider the category of all right C-comodules MC, which is an a...
In a first part we establish some structural results on the cobar construction. The goal is to obtai...
The spaces considered throughout are H-spaces and the maps are usually H-maps, fibrations or cofibra...
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