Goodwillie calculus – approximation of homotopy theories by stable homotopy theories
A Weiss topology is a type of Grothendieck topology that provides a site of definition for (infinity,1)-toposes as they appear in manifold calculus.
Pedro Boavida de Brito, Michael Weiss, Manifold calculus and homotopy sheaves, Homology, Homotopy and Applications, vol. 15(2), 2013, pp.361–383 (arXiv:1202.1305)
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