id sid tid token lemma pos 3t945q50t96 1 1 we we PRON 3t945q50t96 1 2 develop develop VERB 3t945q50t96 1 3 cω cω NOUN 3t945q50t96 1 4 - - PUNCT 3t945q50t96 1 5 valued value VERB 3t945q50t96 1 6 ` ` PUNCT 3t945q50t96 1 7 ` ` PUNCT 3t945q50t96 1 8 continuous continuous ADJ 3t945q50t96 1 9 '' '' PUNCT 3t945q50t96 1 10 logic logic NOUN 3t945q50t96 1 11 and and CCONJ 3t945q50t96 1 12 present present VERB 3t945q50t96 1 13 some some DET 3t945q50t96 1 14 model model ADJ 3t945q50t96 1 15 - - PUNCT 3t945q50t96 1 16 theoretic theoretic ADJ 3t945q50t96 1 17 results result NOUN 3t945q50t96 1 18 obtained obtain VERB 3t945q50t96 1 19 in in ADP 3t945q50t96 1 20 this this DET 3t945q50t96 1 21 context context NOUN 3t945q50t96 1 22 . . PUNCT 3t945q50t96 2 1 first first ADV 3t945q50t96 2 2 , , PUNCT 3t945q50t96 2 3 we we PRON 3t945q50t96 2 4 consider consider VERB 3t945q50t96 2 5 a a DET 3t945q50t96 2 6 description description NOUN 3t945q50t96 2 7 of of ADP 3t945q50t96 2 8 the the DET 3t945q50t96 2 9 bohr bohr NOUN 3t945q50t96 2 10 compactification compactification NOUN 3t945q50t96 2 11 of of ADP 3t945q50t96 2 12 an an DET 3t945q50t96 2 13 abelian abelian ADJ 3t945q50t96 2 14 topological topological ADJ 3t945q50t96 2 15 group group NOUN 3t945q50t96 2 16 ( ( PUNCT 3t945q50t96 2 17 or or CCONJ 3t945q50t96 2 18 even even ADV 3t945q50t96 2 19 a a DET 3t945q50t96 2 20 general general ADJ 3t945q50t96 2 21 functional functional ADJ 3t945q50t96 2 22 structure structure NOUN 3t945q50t96 2 23 ) ) PUNCT 3t945q50t96 2 24 as as ADP 3t945q50t96 2 25 a a DET 3t945q50t96 2 26 type type NOUN 3t945q50t96 2 27 space space NOUN 3t945q50t96 2 28 in in ADP 3t945q50t96 2 29 this this DET 3t945q50t96 2 30 logic logic NOUN 3t945q50t96 2 31 . . PUNCT 3t945q50t96 3 1 this this PRON 3t945q50t96 3 2 is be AUX 3t945q50t96 3 3 described describe VERB 3t945q50t96 3 4 in in ADP 3t945q50t96 3 5 the the DET 3t945q50t96 3 6 context context NOUN 3t945q50t96 3 7 of of ADP 3t945q50t96 3 8 the the DET 3t945q50t96 3 9 dualities duality NOUN 3t945q50t96 3 10 that that PRON 3t945q50t96 3 11 underpin underpin VERB 3t945q50t96 3 12 the the DET 3t945q50t96 3 13 logic logic NOUN 3t945q50t96 3 14 and and CCONJ 3t945q50t96 3 15 it it PRON 3t945q50t96 3 16 is be AUX 3t945q50t96 3 17 obtained obtain VERB 3t945q50t96 3 18 through through ADP 3t945q50t96 3 19 the the DET 3t945q50t96 3 20 use use NOUN 3t945q50t96 3 21 of of ADP 3t945q50t96 3 22 maps map NOUN 3t945q50t96 3 23 to to PART 3t945q50t96 3 24 compact compact VERB 3t945q50t96 3 25 metrizable metrizable ADJ 3t945q50t96 3 26 structures structure NOUN 3t945q50t96 3 27 . . PUNCT 3t945q50t96 4 1 next next ADV 3t945q50t96 4 2 we we PRON 3t945q50t96 4 3 consider consider VERB 3t945q50t96 4 4 the the DET 3t945q50t96 4 5 structure structure NOUN 3t945q50t96 4 6 of of ADP 3t945q50t96 4 7 δ δ PROPN 3t945q50t96 4 8 - - ADJ 3t945q50t96 4 9 stable stable ADJ 3t945q50t96 4 10 formulas formula NOUN 3t945q50t96 4 11 φ(x;y φ(x;y SPACE 3t945q50t96 4 12 ) ) PUNCT 3t945q50t96 4 13 . . PUNCT 3t945q50t96 5 1 partitions partition NOUN 3t945q50t96 5 2 of of ADP 3t945q50t96 5 3 the the DET 3t945q50t96 5 4 sorts sort NOUN 3t945q50t96 5 5 x x PUNCT 3t945q50t96 5 6 , , PUNCT 3t945q50t96 5 7 y y PROPN 3t945q50t96 5 8 of of ADP 3t945q50t96 5 9 a a DET 3t945q50t96 5 10 structure structure NOUN 3t945q50t96 5 11 are be AUX 3t945q50t96 5 12 produced produce VERB 3t945q50t96 5 13 such such ADJ 3t945q50t96 5 14 that that SCONJ 3t945q50t96 5 15 φ(x;y φ(x;y SPACE 3t945q50t96 5 16 ) ) PUNCT 3t945q50t96 5 17 is be AUX 3t945q50t96 5 18 " " PUNCT 3t945q50t96 5 19 almost almost ADV 3t945q50t96 5 20 constant constant ADJ 3t945q50t96 5 21 " " PUNCT 3t945q50t96 5 22 in in ADP 3t945q50t96 5 23 each each DET 3t945q50t96 5 24 pair pair NOUN 3t945q50t96 5 25 of of ADP 3t945q50t96 5 26 parts part NOUN 3t945q50t96 5 27 . . PUNCT 3t945q50t96 6 1 then then ADV 3t945q50t96 6 2 this this DET 3t945q50t96 6 3 result result NOUN 3t945q50t96 6 4 is be AUX 3t945q50t96 6 5 transferred transfer VERB 3t945q50t96 6 6 to to ADP 3t945q50t96 6 7 a a DET 3t945q50t96 6 8 finite finite ADJ 3t945q50t96 6 9 context context NOUN 3t945q50t96 6 10 to to PART 3t945q50t96 6 11 obtain obtain VERB 3t945q50t96 6 12 a a DET 3t945q50t96 6 13 continuous continuous ADJ 3t945q50t96 6 14 version version NOUN 3t945q50t96 6 15 of of ADP 3t945q50t96 6 16 malliaris malliaris PROPN 3t945q50t96 6 17 and and CCONJ 3t945q50t96 6 18 shelah shelah PROPN 3t945q50t96 6 19 's 's PART 3t945q50t96 6 20 stable stable ADJ 3t945q50t96 6 21 regularity regularity NOUN 3t945q50t96 6 22 lemma lemma NOUN 3t945q50t96 6 23 . . PUNCT 3t945q50t96 7 1 finally finally ADV 3t945q50t96 7 2 , , PUNCT 3t945q50t96 7 3 we we PRON 3t945q50t96 7 4 consider consider VERB 3t945q50t96 7 5 a a DET 3t945q50t96 7 6 double double ADJ 3t945q50t96 7 7 extension extension NOUN 3t945q50t96 7 8 of of ADP 3t945q50t96 7 9 the the DET 3t945q50t96 7 10 classical classical ADJ 3t945q50t96 7 11 result result NOUN 3t945q50t96 7 12 of of ADP 3t945q50t96 7 13 positive positive ADJ 3t945q50t96 7 14 primitive primitive ADJ 3t945q50t96 7 15 elimination elimination NOUN 3t945q50t96 7 16 in in ADP 3t945q50t96 7 17 modules module NOUN 3t945q50t96 7 18 , , PUNCT 3t945q50t96 7 19 first first ADV 3t945q50t96 7 20 to to ADP 3t945q50t96 7 21 abelian abelian ADJ 3t945q50t96 7 22 groups group NOUN 3t945q50t96 7 23 with with ADP 3t945q50t96 7 24 length length NOUN 3t945q50t96 7 25 functions function NOUN 3t945q50t96 7 26 , , PUNCT 3t945q50t96 7 27 and and CCONJ 3t945q50t96 7 28 then then ADV 3t945q50t96 7 29 to to ADP 3t945q50t96 7 30 abelian abelian ADJ 3t945q50t96 7 31 groups group NOUN 3t945q50t96 7 32 with with ADP 3t945q50t96 7 33 length length NOUN 3t945q50t96 7 34 functions function NOUN 3t945q50t96 7 35 and and CCONJ 3t945q50t96 7 36 homomorphisms homomorphism NOUN 3t945q50t96 7 37 to to ADP 3t945q50t96 7 38 compact compact ADJ 3t945q50t96 7 39 groups group NOUN 3t945q50t96 7 40 . . PUNCT 3t945q50t96 8 1 the the DET 3t945q50t96 8 2 latter latter ADJ 3t945q50t96 8 3 requires require VERB 3t945q50t96 8 4 a a DET 3t945q50t96 8 5 different different ADJ 3t945q50t96 8 6 formalism formalism NOUN 3t945q50t96 8 7 of of ADP 3t945q50t96 8 8 " " PUNCT 3t945q50t96 8 9 continuous continuous ADJ 3t945q50t96 8 10 logic logic NOUN 3t945q50t96 8 11 " " PUNCT 3t945q50t96 8 12 , , PUNCT 3t945q50t96 8 13 which which PRON 3t945q50t96 8 14 we we PRON 3t945q50t96 8 15 flesh flesh VERB 3t945q50t96 8 16 out out ADP 3t945q50t96 8 17 in in ADP 3t945q50t96 8 18 some some DET 3t945q50t96 8 19 detail detail NOUN 3t945q50t96 8 20 . . PUNCT