Interpretation of algebraic K-theory of topological K-theory (iterated algebraic K-theory) as the K-theory of BDR 2-vector bundles:
Nils Baas, Bjørn Ian Dundas, John Rognes, Two-vector bundles and forms of elliptic cohomology, London Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004 (arXiv:0909.1742, doi:10.1017/CBO9780511526398.005)
Nils Baas, Bjørn Ian Dundas, Birgit Richter, John Rognes, Stable bundles over rig categories, Journal of Topology, Volume 4, Issue 3, September 2011, Pages 623–640 (doi:10.1112/jtopol/jtr016)
Divisibility of a gerbe on the 3-sphere seen as a BDR 2-vector bundle is in
On symmetry and introducing the language of homotopy type theory for univalent foundations of mathematics:
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