The mathematical enterprises of Robert Thomason

DOI10.1090/S0273-0979-97-00707-6zbMath0861.19001OpenAlexW1975669080MaRDI QIDQ4333034

Charles A. Weibel

Publication date: 19 February 1997

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-97-00707-6

zbMATH Keywords

derived categoriesdescentequivariant algebraic \(K\)-theoryQuillen-Lichtenbaum conjectureshomotopy theory of categories

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of algebraic topology (55-03) History of category theory (18-03) History of (K)-theory (19-03)

Related Items (1)

Fibration models and localisation of categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The finite stable homotopy type of some topoi
• Uniqueness of delooping machines
• The \(K\)-groups of a blow-up scheme and an excess intersection formula
• Riemann-Roch for algebraic versus topological K-theory
• Etale K-theory. I: Connections with etale cohomology and algebraic vector bundles
• The K-theory of strict Hensel local rings and a theorem of Suslin
• Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes
• Lefschetz-Riemann-Roch theorem and coherent trace formula
• Equivariant algebraic vs. topological K-homology Atiyah-Segal-style
• Algebraic K-theory eventually surjects onto topological K-theory
• Le principe de scindage et l'inexistence d'une \(K\)-théorie de Milnor globale. (The splitting principle and the non-existence of global Milnor \(K\)-theory)
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• The uniqueness of infinite loop space machines
• Simplicial sets from categories
• Comparison of equivariant algebraic and topological K-theory
• Categories and cohomology theories
• Homotopy invariant algebraic structures on topological spaces
• Homotopical algebra
• Rational homotopy theory
• Homotopy limits, completions and localizations
• The homotopy limit problem
• Absolute cohomological purity
• Algebraic $K$-theory and etale cohomology
• HOPF RINGS IN THE BAR SPECTRAL SEQUENCE
• Beware the Phony Multiplication on Quillen's a -1 a
• Étale $K$-theory and arithmetic
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Higher algebraic K-theory: I
• A Note on Spaces with Normal Product with Some Compact Space
• Homotopy colimits in the category of small categories

This page was built for publication: The mathematical enterprises of Robert Thomason