AbstractWe show that the basepoint-component of the homotopy fiber of Sullivan's profinite completion map c:Y→Ŷ is always an H-space, provided Y is nilpotent of finite type. This observation allows for a reworking of the completion/rationalization approach to phantom map theory and leads to more direct, transparent proofs of various results in the recent literature on phantom maps
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
usually refers to a theorem about the contractibility or homotopy equivalence of certain types of ma...
Working in the category of $k$-spaces we study the question when the group of vertical homotopy clas...
AbstractWe show that the basepoint-component of the homotopy fiber of Sullivan's profinite completio...
AbstractWe consider the commutation of R∞, the Bousfield–Kan R-completion functor, with homotopy (in...
AbstractThis paper develops the connection between the set of phantom maps from X to Y and the set o...
AbstractWe study phantom maps and homology theories in a stable homotopy category S via a certain Ab...
The main purpose of part I of these notes is to develop for a ring R a functional notion of R-comple...
AbstractIt is shown that a map between nilpotent spaces becomes an equivalence upon P-profinite comp...
AbstractThis paper develops the connection between the set of phantom maps from X to Y and the set o...
Abstract. An "internal completion " of a given based CW space is determined by a particula...
We investigate the existence of an H-space structure on the function space, F-*(X,Y,*), of based map...
AbstractFor a finite type, nilpotent space X, we prove that the cardinality of the set Ph(X, Y), whe...
AbstractWe consider the commutation of R∞, the Bousfield–Kan R-completion functor, with homotopy (in...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
usually refers to a theorem about the contractibility or homotopy equivalence of certain types of ma...
Working in the category of $k$-spaces we study the question when the group of vertical homotopy clas...
AbstractWe show that the basepoint-component of the homotopy fiber of Sullivan's profinite completio...
AbstractWe consider the commutation of R∞, the Bousfield–Kan R-completion functor, with homotopy (in...
AbstractThis paper develops the connection between the set of phantom maps from X to Y and the set o...
AbstractWe study phantom maps and homology theories in a stable homotopy category S via a certain Ab...
The main purpose of part I of these notes is to develop for a ring R a functional notion of R-comple...
AbstractIt is shown that a map between nilpotent spaces becomes an equivalence upon P-profinite comp...
AbstractThis paper develops the connection between the set of phantom maps from X to Y and the set o...
Abstract. An "internal completion " of a given based CW space is determined by a particula...
We investigate the existence of an H-space structure on the function space, F-*(X,Y,*), of based map...
AbstractFor a finite type, nilpotent space X, we prove that the cardinality of the set Ph(X, Y), whe...
AbstractWe consider the commutation of R∞, the Bousfield–Kan R-completion functor, with homotopy (in...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
Abstract We investigate the existence of an H-space structure on the function space, F∗(X,Y, ∗), of ...
usually refers to a theorem about the contractibility or homotopy equivalence of certain types of ma...
Working in the category of $k$-spaces we study the question when the group of vertical homotopy clas...
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