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Some remarks on indiscernible sequences
Author(s) -
Casanovas Enrique
Publication year - 2003
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310051
Subject(s) - mathematics , tuple , homogeneity (statistics) , sequence (biology) , property (philosophy) , simple (philosophy) , independence (probability theory) , relation (database) , pure mathematics , discrete mathematics , computer science , data mining , statistics , epistemology , philosophy , genetics , biology
We prove a property of generic homogeneity of tuples starting an infinite indiscernible sequence in a simple theory and we use it to give a shorter proof of the Independence Theorem for Lascar strong types. We also characterize the relation of starting an infinite indiscernible sequence in terms of coheirs.