We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebraic are unexpectedly subtle, and we illustrate this with several interesting examples arising from chromatic homotopy theory.Comment: 30 pages, to appear in Journal of the LM
summary:The paper is concerned with homotopy concepts in the category of chain complexes. It is part...
We prove that there is at most one algebraic model for modules over the K(1)-local sphere at odd pri...
One goal of algebraic topology is to find algebraic invariants that classify topological spaces up to...
AbstractThe simplicial objects in an algebraic category admit an abstract homotopy theory via a Quil...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Abstract: The simplicial objects in an algebraic category admit an abstract homotopy theory via a Qu...
AbstractThe simplicial objects in an algebraic category admit an abstract homotopy theory via a Quil...
In recent years, spectral algebra or stable homotopical algebra over structured ring spectra has bec...
The beginning graduate student in homotopy theory is confronted with a vast literature on spectra th...
Schwede S. Stable homotopy of algebraic theories. Ergänzungsreihe / Universität Bielefeld, Sonderfor...
We prove that Morel-Voevodsky's stable $\mathbb{A}^1$-homotopy theory affords the universal six-func...
We construct certain unstable higher-order homotopy operations indexed by the simplex categories of ...
We compute the motivic stable homotopy groups of a variant of the connective image-of-$J$ spectrum o...
summary:The paper is concerned with homotopy concepts in the category of chain complexes. It is part...
AbstractIf A is a complete and cocomplete abelian category, which we allow ourselves to conflate wit...
summary:The paper is concerned with homotopy concepts in the category of chain complexes. It is part...
We prove that there is at most one algebraic model for modules over the K(1)-local sphere at odd pri...
One goal of algebraic topology is to find algebraic invariants that classify topological spaces up to...
AbstractThe simplicial objects in an algebraic category admit an abstract homotopy theory via a Quil...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Abstract: The simplicial objects in an algebraic category admit an abstract homotopy theory via a Qu...
AbstractThe simplicial objects in an algebraic category admit an abstract homotopy theory via a Quil...
In recent years, spectral algebra or stable homotopical algebra over structured ring spectra has bec...
The beginning graduate student in homotopy theory is confronted with a vast literature on spectra th...
Schwede S. Stable homotopy of algebraic theories. Ergänzungsreihe / Universität Bielefeld, Sonderfor...
We prove that Morel-Voevodsky's stable $\mathbb{A}^1$-homotopy theory affords the universal six-func...
We construct certain unstable higher-order homotopy operations indexed by the simplex categories of ...
We compute the motivic stable homotopy groups of a variant of the connective image-of-$J$ spectrum o...
summary:The paper is concerned with homotopy concepts in the category of chain complexes. It is part...
AbstractIf A is a complete and cocomplete abelian category, which we allow ourselves to conflate wit...
summary:The paper is concerned with homotopy concepts in the category of chain complexes. It is part...
We prove that there is at most one algebraic model for modules over the K(1)-local sphere at odd pri...
One goal of algebraic topology is to find algebraic invariants that classify topological spaces up to...
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