Add to ORKG"Small" large cardinal notions in the language of ZFC are those large cardinal notions consistent with V = L. We have the original (1) and analogues (2{7) of small large cardinal notions in
AbstractWe prove that the existence of arbitrarily large supercompact cardinals implies that every a...
This paper investigates the relations K+--t (a): and its variants for uncountable cardinals K. First...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
AbstractA new axiomatic system OST of operational set theory is introduced in which the usual langua...
My aim is to discuss, on the basis of a historical survey, the question of the consistency of ZF set...
During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Co...
I consider the question of the consistency of ZF set theory and of its large cardinal extensions, fr...
Abstract. We present the axioms of extended set theory (XST) and the ideas underlying the axioms. We...
AbstractThe large cardinal axioms of the title assert, respectively, the existence of a nontrivial e...
AbstractThe rank-into-rank and stronger large cardinal axioms assert the existence of certain elemen...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The iterative conception of set is typically considered to provide the intuitive underpinnings for Z...
Gödel’s universe L of constructible sets has many attractive features. It has a definable wellorder...
The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of...
If the universe V of sets does not have within it very complicated canonical inner models for large ...
AbstractWe prove that the existence of arbitrarily large supercompact cardinals implies that every a...
This paper investigates the relations K+--t (a): and its variants for uncountable cardinals K. First...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
AbstractA new axiomatic system OST of operational set theory is introduced in which the usual langua...
My aim is to discuss, on the basis of a historical survey, the question of the consistency of ZF set...
During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Co...
I consider the question of the consistency of ZF set theory and of its large cardinal extensions, fr...
Abstract. We present the axioms of extended set theory (XST) and the ideas underlying the axioms. We...
AbstractThe large cardinal axioms of the title assert, respectively, the existence of a nontrivial e...
AbstractThe rank-into-rank and stronger large cardinal axioms assert the existence of certain elemen...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
The iterative conception of set is typically considered to provide the intuitive underpinnings for Z...
Gödel’s universe L of constructible sets has many attractive features. It has a definable wellorder...
The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of...
If the universe V of sets does not have within it very complicated canonical inner models for large ...
AbstractWe prove that the existence of arbitrarily large supercompact cardinals implies that every a...
This paper investigates the relations K+--t (a): and its variants for uncountable cardinals K. First...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...