Browsing Bergen Open Research Archive by Author "Dundas, Bjørn Ian"
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Cubical and cosimplicial descent
Dundas, Bjørn Ian; Rognes, John (Peer reviewed; Journal article, 2018)We prove that algebraic K ‐theory, topological Hochschild homology and topological cyclic homology satisfy cubical and cosimplicial descent at connective structured ring spectra along 1‐connected maps of such ring spectra. -
Cyclic homology in a special world
Dundas, Bjørn Ian (Chapter, 2020)In work of Connes and Consani, Γ-spaces have taken a new importance. Segal introduced Γ-spaces in order to study stable homotopy theory, but the new perspective makes it apparent that also information about the unstable ... -
Towards an understanding of ramified extensions of structured ring spectra
Dundas, Bjørn Ian; Lindenstrauss, Ayelet; Richter, Birgit (Journal article; Peer reviewed, 2020)We propose topological Hochschild homology as a tool for measuring ramification of maps of structured ring spectra. We determine second order topological Hochschild homology of the p-local integers. For the tamely ramified ...