A weak reflection of Reinhardt by super Reinhardt cardinals

2020/05/22 by Farmer Schlutzenberg, Schlutzenberg, Farmer
Mathematics · Computer Science · #Advanced Topology and Set Theory #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2005.11111

Abstract

We prove a weakened version of the reflection of Reinhardt cardinals by super Reinhardt cardinals: Let M=(V^M,P) be a countable model of second order set theory ZF₂ (with universe V^M and classes P) which models "κ is super Reinhardt". We show that there are unboundedly many μ

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