Add to ORKGWe aim to explain the intuition behind several large cardinal axioms, give characterization theorems for these axioms, and then discuss a few of their properties. As a capstone, we hope to introduce a new large cardinal notion and give a similar characterization theorem of this new notion. Our new notion of near strong compactness was inspired by the similar notion of near supercompactness, due to Jason Schanker
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
In this note we report on a project in progress, where we study compactness of infinitary logics, in...
In this paper we introduce a generic large cardinal akin to I0, together with the consequences of ℵω...
In this thesis, we provide new characterizations for several well-studied large cardinal notions. Th...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
In the current dissertation we work in set theory and we study both various large cardinal hierarchi...
Infinite sets are a fundamental object of modern mathematics. Surprisingly, the existence of infinit...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
In this note we report on a project in progress, where we study compactness of infinitary logics, in...
In this paper we introduce a generic large cardinal akin to I0, together with the consequences of ℵω...
In this thesis, we provide new characterizations for several well-studied large cardinal notions. Th...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
In the current dissertation we work in set theory and we study both various large cardinal hierarchi...
Infinite sets are a fundamental object of modern mathematics. Surprisingly, the existence of infinit...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
In this note we report on a project in progress, where we study compactness of infinitary logics, in...
In this paper we introduce a generic large cardinal akin to I0, together with the consequences of ℵω...