Spectra of small categories and infinite loop space machines

DOI10.1007/s10977-006-0017-0zbMath1121.55008OpenAlexW2025001085MaRDI QIDQ864990

Elias Gabriel Minian

Publication date: 13 February 2007

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10977-006-0017-0

zbMATH Keywords

infinite loop spacessmall categoriesgamma spaces

Mathematics Subject Classification ID

Homotopy theory (55P99) Infinite loop spaces (55P47) Homological algebra in category theory, derived categories and functors (18G99) Loop space machines and operads in algebraic topology (55P48)

Related Items (2)

Numerably contractible categories ⋮ Spectra associated to symmetric monoidal bicategories

Cites Work

• Numerably contractible categories
• The uniqueness of infinite loop space machines
• Loop and suspension functors for small categories and stable homotopy groups
• Categories and cohomology theories
• Classifying spaces and spectral sequences
• Homotopietheorie
• Partitions of unity in the theory of fibrations
• Higher algebraic K-theory: I
• \({\mathcal C}at\) as a \(\Lambda\)-cofibration category
• Complexes in Cat
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