Strong dependence, weight, and measure
Anand Pillay
TL;DR
This paper explores Shelah's strong dependence (strong NIP) in model theory, linking it to generically stable measures, forking, and weight to provide a comprehensive understanding of the concept.
Contribution
It offers a new account of strong dependence using measures, forking, and weight, enhancing the theoretical framework of model theory.
Findings
Characterizes strong dependence via generically stable measures
Connects forking with strong NIP properties
Provides insights into the structure of theories with strong dependence
Abstract
I give an account of Shelah's notion of strong dependence, or strong NIP, in terms of suitable generically stable measures, forking, and weight.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Advanced Topology and Set Theory · Mathematical and Theoretical Analysis