An inverse $K$-theory functor
Copyright policy )An inverse $K$-theory functor
Thomason showed that the K -theory of symmetric monoidal categories models all connective spectra. This paper describes a new construction of a permutative category from a \Gamma -space, which is then used to re-prove Thomason's theorem and a non-completed variant.
- Indiana University United States
- Indiana University Bloomington United States
Stable homotopy theory, spectra, K-Theory and Homology (math.KT), permutative category, connective spectrum, \(K\)-theory of symmetric monoidal categories, Infinite loop spaces, Monoidal, symmetric monoidal and braided categories, gamma space, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Symmetric monoidal categories, Mathematics - Algebraic Topology, connective spectra, 19D23, 55P47, 18D10, 55P42
Stable homotopy theory, spectra, K-Theory and Homology (math.KT), permutative category, connective spectrum, \(K\)-theory of symmetric monoidal categories, Infinite loop spaces, Monoidal, symmetric monoidal and braided categories, gamma space, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Symmetric monoidal categories, Mathematics - Algebraic Topology, connective spectra, 19D23, 55P47, 18D10, 55P42
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).21 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!