On the notions of dimension and transcendence degree for models of ZFC
Mohammad Golshani
TL;DR
This paper introduces new concepts of generic dimension and transcendence degree to compare models of ZFC, providing foundational insights into their structural relationships.
Contribution
It defines and explores the notions of generic dimension and transcendence degree for models of ZFC, offering new tools for their analysis.
Findings
Examples illustrating the new notions
Relationships between models based on these notions
Potential applications in set theory
Abstract
We define notions of generic dimension and generic transcendence degree between models of ZFC and give some examples.
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Taxonomy
TopicsMathematical Biology Tumor Growth