On ring spectra:
Andrew Baker, Birgit Richter Structured ring spectra, London Mathematical Society Lecture Notes Series 315, Springer 2004 (ISBN:9780521603058)
Birgit Richter, Commutative ring spectra (arXiv:1710.02328, pdf), in: Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill (eds.), Stable categories and structured ring spectra, MSRI Book Series, Cambridge University Press.
Interpretation of algebraic K-theory of topological K-theory (iterated algebraic K-theory) as the K-theory of BDR 2-vector bundles:
On category theory and homotopy theory:
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