Meeting, covering and Shelah's Revised GCH
Pierre Matet

TL;DR
This paper explores Shelah's Revised GCH Theorem's applications to diamond principles and covering numbers, proposing a generalization and proving a fragment, advancing understanding in set theory.
Contribution
It introduces a generalization of Shelah's Revised GCH Theorem and proves a fragment, expanding its applicability to covering numbers.
Findings
Revisits Shelah's Revised GCH Theorem in the context of diamond principles
Proposes a new generalization of the theorem
Proves a small fragment of the generalized theorem
Abstract
We revisit the application of Shelah's Revised GCH Theorem \cite{SheRGCH} to diamond. We also formulate a generalization of the theorem and prove a small fragment of it. Finally we consider another application of the theorem, to covering numbers of the form cov(-, -, -, ).
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory
