HOD in natural models of AD^+
Nam Trang
TL;DR
This paper investigates the structure of HOD in natural models of AD^+ under a smallness assumption, showing it is a fine-structural model satisfying GCH, and builds on Sargsyan's work on hod mice.
Contribution
It demonstrates that HOD in certain natural models of AD^+ is a fine-structural model satisfying GCH, extending the understanding of HOD's structure under specific assumptions.
Findings
HOD is a fine-structural model in the studied context
HOD satisfies GCH in these models
The analysis relies on a smallness assumption and Sargsyan's work
Abstract
This paper analyzes full HOD of natural models of AD^+ under a certain smallness assumption of the models. This assumption is made to utilize Sargsyan's work on the theory of hod mice. We show that HOD is a fine-structural model and in particular satisfies GCH.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Microtubule and mitosis dynamics · Advanced Topology and Set Theory