Geodesic
Around stable forking
Byunghan Kim1 ; A. Pillay2
1Department of Mathematics MIT Cambridge, MA 02138, U.S.A.
2Department of Mathematics University of Illinois at Urbana-Champaign Altgeld Hall, 1409 W. Green St. Urbana, IL 61801, U.S.A.
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 107-118
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We discuss various conjectures and problems around the issue of when and whether stable formulas are responsible for forking in simple theories. We prove that if the simple theory $T$ has strong stable forking then any complete type is a nonforking extension of a complete type which is axiomatized by instances of stable formulas. We also give another treatment of the first author's result which identifies canonical bases in supersimple theories.
DOI : 10.4064/fm170-1-6
Keywords: discuss various conjectures problems around issue whether stable formulas responsible forking simple theories prove simple theory has strong stable forking complete type nonforking extension complete type which axiomatized instances stable formulas another treatment first authors result which identifies canonical bases supersimple theories

Byunghan Kim  1   ; A. Pillay  2

1 Department of Mathematics MIT Cambridge, MA 02138, U.S.A.
2 Department of Mathematics University of Illinois at Urbana-Champaign Altgeld Hall, 1409 W. Green St. Urbana, IL 61801, U.S.A. 
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Byunghan Kim; A. Pillay. Around stable forking. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 107-118. doi: 10.4064/fm170-1-6

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