It is shown that under GCH every poset preserves its cofinality in any cofinality preserving extension. On the other hand, starting with ω measurable cardinals, a model with a partial ordered set which can change its cofinality in a cofinality preserving extension is constructed.
AbstractWe present a technique for destroying stationary subsets of Pκκ+ using partial square sequen...
Introduction Partial maps are naturally ordered according to their extent of definition. Constructi...
I answer a question of Shelah by showing that if is a regular cardinal such that 2< = , then t...
AbstractA problem concerning the cardinality of the cofinal subsets of a partially ordered set is re...
In this paper, the notion of derivation on partially ordered sets or posets is introduced and studie...
Abstract The theory of partially ordered sets (posets, for short) proved to have crucial application...
Various authors (especially Scott, Egli, and Constable) have introduced concepts of basis for vari...
Introduction. Let P be a partially ordered system and let S and T be nonempty subsets of P. If, for ...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. We present a technique for destroying stationary subsets of Pκκ+ using partial square sequ...
summary:A concept of congruence preserving upper and lower bounds in a poset $P$ is introduced. If $...
AbstractDoes every partial order of singular cofinality λ have an antichain of size cf(λ)? This is t...
A binary relation! on a set P is defined to be a partial order on P when! is reflexive, transitive, ...
We investigate how much information cardinal invariants can give on the structure of the ordered se...
A partially ordered set (poset) is a pair (S,R) where S is a nonempty set and R is a reflexive, ant...
AbstractWe present a technique for destroying stationary subsets of Pκκ+ using partial square sequen...
Introduction Partial maps are naturally ordered according to their extent of definition. Constructi...
I answer a question of Shelah by showing that if is a regular cardinal such that 2< = , then t...
AbstractA problem concerning the cardinality of the cofinal subsets of a partially ordered set is re...
In this paper, the notion of derivation on partially ordered sets or posets is introduced and studie...
Abstract The theory of partially ordered sets (posets, for short) proved to have crucial application...
Various authors (especially Scott, Egli, and Constable) have introduced concepts of basis for vari...
Introduction. Let P be a partially ordered system and let S and T be nonempty subsets of P. If, for ...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. We present a technique for destroying stationary subsets of Pκκ+ using partial square sequ...
summary:A concept of congruence preserving upper and lower bounds in a poset $P$ is introduced. If $...
AbstractDoes every partial order of singular cofinality λ have an antichain of size cf(λ)? This is t...
A binary relation! on a set P is defined to be a partial order on P when! is reflexive, transitive, ...
We investigate how much information cardinal invariants can give on the structure of the ordered se...
A partially ordered set (poset) is a pair (S,R) where S is a nonempty set and R is a reflexive, ant...
AbstractWe present a technique for destroying stationary subsets of Pκκ+ using partial square sequen...
Introduction Partial maps are naturally ordered according to their extent of definition. Constructi...
I answer a question of Shelah by showing that if is a regular cardinal such that 2< = , then t...
Add to ORKG