id sid tid token lemma pos ks65h993316 1 1 in in ADP ks65h993316 1 2 geometric geometric ADJ ks65h993316 1 3 stability stability NOUN ks65h993316 1 4 theory theory NOUN ks65h993316 1 5 , , PUNCT ks65h993316 1 6 internality internality NOUN ks65h993316 1 7 plays play VERB ks65h993316 1 8 a a DET ks65h993316 1 9 central central ADJ ks65h993316 1 10 role role NOUN ks65h993316 1 11 , , PUNCT ks65h993316 1 12 as as ADP ks65h993316 1 13 a a DET ks65h993316 1 14 tool tool NOUN ks65h993316 1 15 to to PART ks65h993316 1 16 explore explore VERB ks65h993316 1 17 the the DET ks65h993316 1 18 fine fine ADJ ks65h993316 1 19 structure structure NOUN ks65h993316 1 20 of of ADP ks65h993316 1 21 definable definable ADJ ks65h993316 1 22 sets set NOUN ks65h993316 1 23 . . PUNCT ks65h993316 2 1 studying study VERB ks65h993316 2 2 internal internal ADJ ks65h993316 2 3 types type NOUN ks65h993316 2 4 , , PUNCT ks65h993316 2 5 one one NUM ks65h993316 2 6 often often ADV ks65h993316 2 7 encounters encounter VERB ks65h993316 2 8 uniformly uniformly ADV ks65h993316 2 9 defined define VERB ks65h993316 2 10 families family NOUN ks65h993316 2 11 of of ADP ks65h993316 2 12 internal internal ADJ ks65h993316 2 13 types type NOUN ks65h993316 2 14 . . PUNCT ks65h993316 3 1 this this DET ks65h993316 3 2 thesis thesis NOUN ks65h993316 3 3 is be AUX ks65h993316 3 4 mainly mainly ADV ks65h993316 3 5 concerned concern VERB ks65h993316 3 6 with with ADP ks65h993316 3 7 the the DET ks65h993316 3 8 study study NOUN ks65h993316 3 9 of of ADP ks65h993316 3 10 such such ADJ ks65h993316 3 11 families family NOUN ks65h993316 3 12 , , PUNCT ks65h993316 3 13 both both PRON ks65h993316 3 14 from from ADP ks65h993316 3 15 an an DET ks65h993316 3 16 abstract abstract ADJ ks65h993316 3 17 model model NOUN ks65h993316 3 18 - - PUNCT ks65h993316 3 19 theoretic theoretic ADJ ks65h993316 3 20 perspective perspective NOUN ks65h993316 3 21 and and CCONJ ks65h993316 3 22 in in ADP ks65h993316 3 23 concrete concrete NOUN ks65h993316 3 24 examples.in examples.in X ks65h993316 3 25 the the DET ks65h993316 3 26 first first ADJ ks65h993316 3 27 part part NOUN ks65h993316 3 28 , , PUNCT ks65h993316 3 29 we we PRON ks65h993316 3 30 generalize generalize VERB ks65h993316 3 31 one one NUM ks65h993316 3 32 of of ADP ks65h993316 3 33 the the DET ks65h993316 3 34 fundamental fundamental ADJ ks65h993316 3 35 tools tool NOUN ks65h993316 3 36 of of ADP ks65h993316 3 37 geometric geometric ADJ ks65h993316 3 38 stability stability NOUN ks65h993316 3 39 theory theory NOUN ks65h993316 3 40 , , PUNCT ks65h993316 3 41 type type NOUN ks65h993316 3 42 - - PUNCT ks65h993316 3 43 definable definable ADJ ks65h993316 3 44 binding binding ADJ ks65h993316 3 45 groups group NOUN ks65h993316 3 46 , , PUNCT ks65h993316 3 47 to to ADP ks65h993316 3 48 certain certain ADJ ks65h993316 3 49 families family NOUN ks65h993316 3 50 of of ADP ks65h993316 3 51 internal internal ADJ ks65h993316 3 52 types type NOUN ks65h993316 3 53 , , PUNCT ks65h993316 3 54 which which PRON ks65h993316 3 55 we we PRON ks65h993316 3 56 call call VERB ks65h993316 3 57 relatively relatively ADV ks65h993316 3 58 internal internal ADJ ks65h993316 3 59 . . PUNCT ks65h993316 4 1 we we PRON ks65h993316 4 2 obtain obtain VERB ks65h993316 4 3 , , PUNCT ks65h993316 4 4 instead instead ADV ks65h993316 4 5 of of ADP ks65h993316 4 6 a a DET ks65h993316 4 7 group group NOUN ks65h993316 4 8 , , PUNCT ks65h993316 4 9 a a DET ks65h993316 4 10 type type NOUN ks65h993316 4 11 - - PUNCT ks65h993316 4 12 definable definable ADJ ks65h993316 4 13 groupoid groupoid NOUN ks65h993316 4 14 , , PUNCT ks65h993316 4 15 as as ADV ks65h993316 4 16 well well ADV ks65h993316 4 17 as as ADP ks65h993316 4 18 simplicial simplicial ADJ ks65h993316 4 19 data datum NOUN ks65h993316 4 20 , , PUNCT ks65h993316 4 21 encoding encode VERB ks65h993316 4 22 structural structural ADJ ks65h993316 4 23 properties property NOUN ks65h993316 4 24 of of ADP ks65h993316 4 25 the the DET ks65h993316 4 26 family.in family.in NUM ks65h993316 4 27 the the DET ks65h993316 4 28 second second ADJ ks65h993316 4 29 part part NOUN ks65h993316 4 30 , , PUNCT ks65h993316 4 31 we we PRON ks65h993316 4 32 introduce introduce VERB ks65h993316 4 33 a a DET ks65h993316 4 34 new new ADJ ks65h993316 4 35 strengthening strengthening NOUN ks65h993316 4 36 of of ADP ks65h993316 4 37 internality internality NOUN ks65h993316 4 38 , , PUNCT ks65h993316 4 39 called call VERB ks65h993316 4 40 uniform uniform ADJ ks65h993316 4 41 internality internality NOUN ks65h993316 4 42 . . PUNCT ks65h993316 5 1 we we PRON ks65h993316 5 2 expose expose VERB ks65h993316 5 3 its its PRON ks65h993316 5 4 connection connection NOUN ks65h993316 5 5 with with ADP ks65h993316 5 6 the the DET ks65h993316 5 7 previously previously ADV ks65h993316 5 8 constructed construct VERB ks65h993316 5 9 groupoids groupoid NOUN ks65h993316 5 10 , , PUNCT ks65h993316 5 11 and and CCONJ ks65h993316 5 12 prove prove VERB ks65h993316 5 13 it it PRON ks65h993316 5 14 is be AUX ks65h993316 5 15 a a DET ks65h993316 5 16 strengthening strengthening NOUN ks65h993316 5 17 of of ADP ks65h993316 5 18 preserving preserve VERB ks65h993316 5 19 internality internality NOUN ks65h993316 5 20 , , PUNCT ks65h993316 5 21 a a DET ks65h993316 5 22 notion notion NOUN ks65h993316 5 23 previously previously ADV ks65h993316 5 24 introduced introduce VERB ks65h993316 5 25 by by ADP ks65h993316 5 26 moosa moosa PROPN ks65h993316 5 27 . . PUNCT ks65h993316 6 1 we we PRON ks65h993316 6 2 then then ADV ks65h993316 6 3 explore explore VERB ks65h993316 6 4 examples example NOUN ks65h993316 6 5 in in ADP ks65h993316 6 6 differentially differentially ADV ks65h993316 6 7 closed close VERB ks65h993316 6 8 fields field NOUN ks65h993316 6 9 and and CCONJ ks65h993316 6 10 compact compact ADJ ks65h993316 6 11 complex complex NOUN ks65h993316 6 12 manifolds.in manifolds.in NUM ks65h993316 6 13 the the DET ks65h993316 6 14 last last ADJ ks65h993316 6 15 part part NOUN ks65h993316 6 16 , , PUNCT ks65h993316 6 17 we we PRON ks65h993316 6 18 study study VERB ks65h993316 6 19 a a DET ks65h993316 6 20 structural structural ADJ ks65h993316 6 21 feature feature NOUN ks65h993316 6 22 of of ADP ks65h993316 6 23 stable stable ADJ ks65h993316 6 24 theories theory NOUN ks65h993316 6 25 , , PUNCT ks65h993316 6 26 called call VERB ks65h993316 6 27 the the DET ks65h993316 6 28 canonical canonical ADJ ks65h993316 6 29 base base NOUN ks65h993316 6 30 property property NOUN ks65h993316 6 31 . . PUNCT ks65h993316 7 1 we we PRON ks65h993316 7 2 prove prove VERB ks65h993316 7 3 that that SCONJ ks65h993316 7 4 hrushovski hrushovski PROPN ks65h993316 7 5 , , PUNCT ks65h993316 7 6 palacín palacín PROPN ks65h993316 7 7 and and CCONJ ks65h993316 7 8 pillay pillay NOUN ks65h993316 7 9 's 's PART ks65h993316 7 10 counterexample counterexample NOUN ks65h993316 7 11 does do AUX ks65h993316 7 12 not not PART ks65h993316 7 13 transfer transfer VERB ks65h993316 7 14 to to ADP ks65h993316 7 15 positive positive ADJ ks65h993316 7 16 characteristic characteristic NOUN ks65h993316 7 17 . . PUNCT ks65h993316 8 1 elaborating elaborate VERB ks65h993316 8 2 on on ADP ks65h993316 8 3 the the DET ks65h993316 8 4 counterexample counterexample NOUN ks65h993316 8 5 , , PUNCT ks65h993316 8 6 we we PRON ks65h993316 8 7 also also ADV ks65h993316 8 8 provide provide VERB ks65h993316 8 9 an an DET ks65h993316 8 10 abstract abstract ADJ ks65h993316 8 11 configuration configuration NOUN ks65h993316 8 12 violating violate VERB ks65h993316 8 13 the the DET ks65h993316 8 14 canonical canonical ADJ ks65h993316 8 15 base base NOUN ks65h993316 8 16 property property NOUN ks65h993316 8 17 . . PUNCT