Dualizing cartesian and cocartesian fibrations

zbMath1423.18025arXiv1409.2165MaRDI QIDQ4563228

Clark Barwick, Denis Nardin, Saul Glasman

Publication date: 7 June 2018

Full work available at URL: https://arxiv.org/abs/1409.2165

zbMATH Keywords

quasicategoriescartesian fibrationscocartesian fibrations

Mathematics Subject Classification ID

Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items

Weighted limits in an \((\infty, 1)\)-category ⋮ The Beilinson regulator is a map of ring spectra ⋮ Lax colimits and free fibrations in \(\infty\)-categories ⋮ Bundle functors and fibrations ⋮ Enhanced bivariant homology theory attached to six functor formalism ⋮ Parametrized higher category theory ⋮ Spanier–Whitehead duality for topological coHochschild homology ⋮ On rectification and enrichment of infinity properads ⋮ Two-variable fibrations, factorisation systems and -categories of spans ⋮ Lax monoidal adjunctions, two‐variable fibrations and the calculus of mates ⋮ On Quasi-Categories of Comodules and Landweber Exactness ⋮ Unnamed Item ⋮ The coalgebraic enrichment of algebras in higher categories ⋮ On the relation between K- and L-theory of \(C^*\)-algebras ⋮ Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map ⋮ Scheiderer motives and equivariant higher topos theory ⋮ A spectrum-level Hodge filtration on topological Hochschild homology ⋮ The motivic Satake equivalence ⋮ Infinity‐operads and Day convolution in Goodwillie calculus ⋮ Gel′fand-Fuchs cohomology in algebraic geometry and factorization algebras

Cites Work

• Unnamed Item
• Spectral Mackey functors and equivariant algebraic \(K\)-theory. I.
• Day convolution for \(\infty\)-categories
• Relative categories: another model for the homotopy theory of homotopy theories
• Lax colimits and free fibrations in \(\infty\)-categories
• Towards an axiomatization of the theory of higher categories
• On the unicity of the theory of higher categories
• Higher Topos Theory (AM-170)