nLab David Barnes

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Selected writings

On stable homotopy theory:

• David Barnes, Constanze Roitzheim, Foundations of Stable Homotopy Theory (pdf)

On rational equivariant stable homotopy theory:

• David Barnes, Rational Equivariant Spectra (arXiv:0802.0954)

• David Barnes, Classifying Rational $G$-Spectra for Finite $G$ (arXiv:0812.0317)

• David Barnes, Magdalena Kedziorek, An introduction to algebraic models for rational G-spectra (arXiv:2004.01566)

On left and right Bousfield localization of stable model categories (such as model categories of spectra):

• David Barnes, Constanze Roitzheim: Stable left and right Bousfield localisations, Glasg. Math. J. 56 1 (2014) 13–42 [arXiv:10.1017/S0017089512000882, arXiv:1204.5384]

On Goodwillie calculus:

• David Barnes, Rosona Eldred, Capturing Goodwillie’s Derivative, Journal of Pure and Applied Algebra

  220 1 (2016) 197-222 [arXiv:1406.0424, doi:10.1016/j.jpaa.2015.06.006]

On orthogonal calculus:

• David Barnes, Rosona Eldred, Comparing the orthogonal and homotopy functor calculi, Journal of Pure and Applied Algebra 220 11 (2016) 3650-3675 [arXiv:1505.05458, doi:10.1016/j.jpaa.2016.05.005]

Related entries

• rational equivariant stable homotopy theory

• orthogonal calculus

category: people