2026-09-20T19:42:20Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/824402022-01-13T07:54:04Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Mark J. Behrens.
Pereira, Luis Alexandre Meira Fernandes Alves
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2013-11-18T19:23:34Z
2013-11-18T19:23:34Z
2013
http://hdl.handle.net/1721.1/82440
862976302
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 131-133).
The overall goal of this thesis is to apply the theory of Goodwillie calculus to the category Algo of algebras over a spectral operad. Its first part generalizes many of the original results of Goodwillie in [14] so that they apply to a larger class of model categories and hence be applicable to Algo. The second part then applies that generalized theory to the Algo categories. The main results here are: an understanding of finitary homogeneous between such categories; identifying the Taylor tower of the identity in those categories; showing that finitary n-excisive functors can not distinguish between Algo and Algo,, the category of algebras over the truncated operad O<; and a weak form of the chain rule between the algebra categories, analogous to the one found in [1].
by Luis Alexandre Meira Fernandes Alves Pereira.
Ph.D.
133 pages
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Goodwillie calculus and algebras over a spectral operad
Thesis
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