On Goodwillie calculus and chromatic homotopy theory:
Greg Arone, Mark Mahowald, The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres, Inventiones mathematicae, February 1999, Volume 135, Issue 3, pp 743-788 (pdf, doi:10.1007/s002220050300)
Gregory Arone, Michael Ching, Goodwillie Calculus, in: Handbook of Homotopy Theory Taylor & Francis (2019) [arXiv:1902.00803,doi:10.1201/9781351251624]
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