id sid tid token lemma pos qf85n87480b 1 1 the the DET qf85n87480b 1 2 present present ADJ qf85n87480b 1 3 thesis thesis NOUN qf85n87480b 1 4 consists consist VERB qf85n87480b 1 5 of of ADP qf85n87480b 1 6 an an DET qf85n87480b 1 7 introduction introduction NOUN qf85n87480b 1 8 and and CCONJ qf85n87480b 1 9 two two NUM qf85n87480b 1 10 chapters chapter NOUN qf85n87480b 1 11 of of ADP qf85n87480b 1 12 mathematics mathematic NOUN qf85n87480b 1 13 . . PUNCT qf85n87480b 2 1 the the DET qf85n87480b 2 2 latter latter ADJ qf85n87480b 2 3 two two NUM qf85n87480b 2 4 are be AUX qf85n87480b 2 5 as as ADV qf85n87480b 2 6 follows.chapter follows.chapter ADP qf85n87480b 2 7 2 2 NUM qf85n87480b 2 8 the the DET qf85n87480b 2 9 derivatives derivative NOUN qf85n87480b 2 10 of of ADP qf85n87480b 2 11 the the DET qf85n87480b 2 12 identity identity NOUN qf85n87480b 2 13 functor functor NOUN qf85n87480b 2 14 on on ADP qf85n87480b 2 15 spaces space NOUN qf85n87480b 2 16 in in ADP qf85n87480b 2 17 goodwillie goodwillie PROPN qf85n87480b 2 18 calculus calculus PROPN qf85n87480b 2 19 forms form VERB qf85n87480b 2 20 an an DET qf85n87480b 2 21 operad operad NOUN qf85n87480b 2 22 in in ADP qf85n87480b 2 23 spectra spectra PROPN qf85n87480b 2 24 . . PUNCT qf85n87480b 3 1 antolin antolin PROPN qf85n87480b 3 2 - - PUNCT qf85n87480b 3 3 camarena camarena PROPN qf85n87480b 3 4 computed compute VERB qf85n87480b 3 5 the the DET qf85n87480b 3 6 mod mod PROPN qf85n87480b 3 7 2 2 NUM qf85n87480b 3 8 homology homology PROPN qf85n87480b 3 9 of of ADP qf85n87480b 3 10 free free ADJ qf85n87480b 3 11 algebras algebra NOUN qf85n87480b 3 12 over over ADP qf85n87480b 3 13 this this DET qf85n87480b 3 14 operad operad NOUN qf85n87480b 3 15 for for ADP qf85n87480b 3 16 1 1 NUM qf85n87480b 3 17 - - PUNCT qf85n87480b 3 18 connected connect VERB qf85n87480b 3 19 spectra spectra NOUN qf85n87480b 3 20 . . PUNCT qf85n87480b 4 1 in in ADP qf85n87480b 4 2 this this DET qf85n87480b 4 3 chapter chapter NOUN qf85n87480b 4 4 we we PRON qf85n87480b 4 5 carry carry VERB qf85n87480b 4 6 out out ADP qf85n87480b 4 7 similar similar ADJ qf85n87480b 4 8 computations computation NOUN qf85n87480b 4 9 for for ADP qf85n87480b 4 10 mod mod PROPN qf85n87480b 4 11 p p PROPN qf85n87480b 4 12 homology homology PROPN qf85n87480b 4 13 for for ADP qf85n87480b 4 14 odd odd ADJ qf85n87480b 4 15 primes primes PROPN qf85n87480b 4 16 p p PROPN qf85n87480b 4 17 , , PUNCT qf85n87480b 4 18 and and CCONJ qf85n87480b 4 19 all all DET qf85n87480b 4 20 spectra.chapter spectra.chapter VERB qf85n87480b 4 21 3 3 NUM qf85n87480b 4 22 in in ADP qf85n87480b 4 23 this this DET qf85n87480b 4 24 chapter chapter NOUN qf85n87480b 4 25 we we PRON qf85n87480b 4 26 recover recover VERB qf85n87480b 4 27 bousfield bousfield PROPN qf85n87480b 4 28 's 's PART qf85n87480b 4 29 computation computation NOUN qf85n87480b 4 30 of of ADP qf85n87480b 4 31 v_1 v_1 ADJ qf85n87480b 4 32 - - PUNCT qf85n87480b 4 33 periodic periodic NOUN qf85n87480b 4 34 homotopy homotopy NOUN qf85n87480b 4 35 groups group NOUN qf85n87480b 4 36 of of ADP qf85n87480b 4 37 simply simply ADV qf85n87480b 4 38 connected connect VERB qf85n87480b 4 39 , , PUNCT qf85n87480b 4 40 finite finite ADJ qf85n87480b 4 41 h h NOUN qf85n87480b 4 42 - - PUNCT qf85n87480b 4 43 spaces space NOUN qf85n87480b 4 44 from from ADP qf85n87480b 4 45 bousfield bousfield PROPN qf85n87480b 4 46 's 's PART qf85n87480b 4 47 work work NOUN qf85n87480b 4 48 using use VERB qf85n87480b 4 49 the the DET qf85n87480b 4 50 techniques technique NOUN qf85n87480b 4 51 of of ADP qf85n87480b 4 52 goodwillie goodwillie PROPN qf85n87480b 4 53 calculus calculus PROPN qf85n87480b 4 54 . . PUNCT qf85n87480b 5 1 this this PRON qf85n87480b 5 2 is be AUX qf85n87480b 5 3 done do VERB qf85n87480b 5 4 through through ADP qf85n87480b 5 5 first first ADJ qf85n87480b 5 6 computing computing ADJ qf85n87480b 5 7 andré andré ADJ qf85n87480b 5 8 - - PUNCT qf85n87480b 5 9 quillen quillen NOUN qf85n87480b 5 10 cohomology cohomology NOUN qf85n87480b 5 11 over over ADP qf85n87480b 5 12 the the DET qf85n87480b 5 13 monad monad PROPN qf85n87480b 5 14 t t PROPN qf85n87480b 5 15 that that PRON qf85n87480b 5 16 encodes encode VERB qf85n87480b 5 17 the the DET qf85n87480b 5 18 power power NOUN qf85n87480b 5 19 operations operation NOUN qf85n87480b 5 20 of of ADP qf85n87480b 5 21 complex complex ADJ qf85n87480b 5 22 k k NOUN qf85n87480b 5 23 - - PUNCT qf85n87480b 5 24 theory theory NOUN qf85n87480b 5 25 . . PUNCT qf85n87480b 6 1 we we PRON qf85n87480b 6 2 then then ADV qf85n87480b 6 3 lift lift VERB qf85n87480b 6 4 this this DET qf85n87480b 6 5 computation computation NOUN qf85n87480b 6 6 to to ADP qf85n87480b 6 7 computing compute VERB qf85n87480b 6 8 k k NOUN qf85n87480b 6 9 - - PUNCT qf85n87480b 6 10 theory theory NOUN qf85n87480b 6 11 of of ADP qf85n87480b 6 12 topological topological ADJ qf85n87480b 6 13 andré andré ADJ qf85n87480b 6 14 - - PUNCT qf85n87480b 6 15 quillen quillen NOUN qf85n87480b 6 16 cohomology cohomology NOUN qf85n87480b 6 17 . . PUNCT qf85n87480b 7 1 we we PRON qf85n87480b 7 2 can can AUX qf85n87480b 7 3 then then ADV qf85n87480b 7 4 use use VERB qf85n87480b 7 5 results result NOUN qf85n87480b 7 6 of of ADP qf85n87480b 7 7 behrens behren NOUN qf85n87480b 7 8 and and CCONJ qf85n87480b 7 9 rezk rezk PROPN qf85n87480b 7 10 relating relate VERB qf85n87480b 7 11 topological topological ADJ qf85n87480b 7 12 andré andré ADJ qf85n87480b 7 13 - - PUNCT qf85n87480b 7 14 quillen quillen NOUN qf85n87480b 7 15 cohomology cohomology NOUN qf85n87480b 7 16 back back ADV qf85n87480b 7 17 to to ADP qf85n87480b 7 18 the the DET qf85n87480b 7 19 bousfield bousfield PROPN qf85n87480b 7 20 - - PUNCT qf85n87480b 7 21 kuhn kuhn PROPN qf85n87480b 7 22 functor functor NOUN qf85n87480b 7 23 . . PUNCT qf85n87480b 8 1 the the DET qf85n87480b 8 2 fact fact NOUN qf85n87480b 8 3 that that SCONJ qf85n87480b 8 4 we we PRON qf85n87480b 8 5 recover recover VERB qf85n87480b 8 6 the the DET qf85n87480b 8 7 result result NOUN qf85n87480b 8 8 of of ADP qf85n87480b 8 9 bousfield bousfield PROPN qf85n87480b 8 10 allows allow VERB qf85n87480b 8 11 us we PRON qf85n87480b 8 12 to to PART qf85n87480b 8 13 conclude conclude VERB qf85n87480b 8 14 that that SCONJ qf85n87480b 8 15 the the DET qf85n87480b 8 16 v_1 v_1 ADJ qf85n87480b 8 17 - - PUNCT qf85n87480b 8 18 periodic periodic ADJ qf85n87480b 8 19 goodwillie goodwillie NOUN qf85n87480b 8 20 tower tower NOUN qf85n87480b 8 21 for for ADP qf85n87480b 8 22 simply simply ADV qf85n87480b 8 23 connected connect VERB qf85n87480b 8 24 , , PUNCT qf85n87480b 8 25 finite finite ADJ qf85n87480b 8 26 h h NOUN qf85n87480b 8 27 - - PUNCT qf85n87480b 8 28 spaces space NOUN qf85n87480b 8 29 converges.the converges.the DET qf85n87480b 8 30 two two NUM qf85n87480b 8 31 chapters chapter NOUN qf85n87480b 8 32 can can AUX qf85n87480b 8 33 be be AUX qf85n87480b 8 34 read read VERB qf85n87480b 8 35 almost almost ADV qf85n87480b 8 36 completely completely ADV qf85n87480b 8 37 independently independently ADV qf85n87480b 8 38 , , PUNCT qf85n87480b 8 39 only only ADV qf85n87480b 8 40 relying rely VERB qf85n87480b 8 41 on on ADP qf85n87480b 8 42 the the DET qf85n87480b 8 43 definitions definition NOUN qf85n87480b 8 44 from from ADP qf85n87480b 8 45 section section NOUN qf85n87480b 8 46 1.1 1.1 NUM qf85n87480b 8 47 . . PUNCT