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oai:www.ideals.illinois.edu:2142/42374 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

McCarthy, Randy Ando, Matthew McCarthy, Randy Rezk, Charles Nevins, Thomas A. Lior, Dan 2013-02-03T19:36:43Z 2013-02-03T19:36:43Z 2012-12 2013-02-03T19:36:43Z 2012-12 Let $P_m$ and $D_m$ be the $m^{th}$ level and layer of the Goodwillie-Taylor tower for discrete modules. In \cite{intermont_johnson_mccarthy08} the rank filtration of $D_1F$ is described and the associated spectral sequence is shown to be equivalent to the filtration by rows of the reduced Robinson bicomplex of $F$. We consider the rank filtrations of $P_mF$ and $D_mF$ and give explicit descriptions of the entries of the $E^1$ page of the associated spectral sequences. In the case $m=1$ these entries agree with those of the spectral sequence associated with the reduced Robinson bicomplex. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-08-13T21:01:04Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Lior_Dan.tex: 120093 bytes, checksum: 6b8b63e4d91fe6ab1ce2ddb51ec15b57 (MD5) Lior_Dan.pdf: 740808 bytes, checksum: d4dfb2d4ccbca76b0f31b53d4c47842f (MD5) Made available in DSpace on 2013-02-03T19:36:43Z (GMT). No. of bitstreams: 3 Dan_Lior.pdf: 740808 bytes, checksum: d4dfb2d4ccbca76b0f31b53d4c47842f (MD5) Lior_Dan.tex: 120093 bytes, checksum: 6b8b63e4d91fe6ab1ce2ddb51ec15b57 (MD5) license.txt: 4058 bytes, checksum: 29c0f36057fc16324b4849bcdd37c6de (MD5) http://hdl.handle.net/2142/42374 en Copyright 2012 Dan Lior Goodwillie Functor Calculus Taylor Tower Robinson Bicomplex Discrete Module Discrete Functor Computing the Goodwillie-Taylor tower of discrete modules text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD