NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. We consider infinite partial orders in which the order or comparability relations are transitive, non-reflexive, and nonsymmetric. Our purpose is to construct for each infinite cardinal [...] a so-called [...] partial order in which every partial order of cardinality [...] can be isomorphically embedded. Using the Axiom of Choice we easily construct an [...] partial order of cardinality [...], while for those infinite cardinals [...] for which [...], the General Continuum Hypothesis enables us to construct an [...]; universal partial order of cardinality [...]
Preferences are not always expressible via complete linear orders: some- times it is more natural to...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
A partial ordering ℙ is chain-Ramsey if, for every natural number n and every coloring of the n-elem...
In this paper we prove the continuum hypothesis with categorical logic, by proving that the theory o...
We construct a monadic second-order sentence that characterizes the ternary relations that are the b...
We study finite partial orders and the concept of indistinguishability. In particular, we focus on S...
AbstractFix a cardinal κ. We can ask the question: what kind of a logic L is needed to characterize ...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
A partially ordered set (poset) is a pair (S,R) where S is a nonempty set and R is a reflexive, ant...
We develop the idea of a θ-ordering (where θ is an infinite cardinal) for a family of infinite sets....
Fix a cardinal κ. We can ask the question what kind of a logic L is needed to characterize all model...
Abstract. We show that there is a class-sized partial order P with the prop-erty that forcing with P...
Abstract. If we assume the axiom of choice, then every two cardinal numbers are comparable. In the a...
Article dans revue scientifique avec comité de lecture. internationale.International audienceIn this...
Abstract The theory of partially ordered sets (posets, for short) proved to have crucial application...
Preferences are not always expressible via complete linear orders: some- times it is more natural to...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
A partial ordering ℙ is chain-Ramsey if, for every natural number n and every coloring of the n-elem...
In this paper we prove the continuum hypothesis with categorical logic, by proving that the theory o...
We construct a monadic second-order sentence that characterizes the ternary relations that are the b...
We study finite partial orders and the concept of indistinguishability. In particular, we focus on S...
AbstractFix a cardinal κ. We can ask the question: what kind of a logic L is needed to characterize ...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
A partially ordered set (poset) is a pair (S,R) where S is a nonempty set and R is a reflexive, ant...
We develop the idea of a θ-ordering (where θ is an infinite cardinal) for a family of infinite sets....
Fix a cardinal κ. We can ask the question what kind of a logic L is needed to characterize all model...
Abstract. We show that there is a class-sized partial order P with the prop-erty that forcing with P...
Abstract. If we assume the axiom of choice, then every two cardinal numbers are comparable. In the a...
Article dans revue scientifique avec comité de lecture. internationale.International audienceIn this...
Abstract The theory of partially ordered sets (posets, for short) proved to have crucial application...
Preferences are not always expressible via complete linear orders: some- times it is more natural to...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
A partial ordering ℙ is chain-Ramsey if, for every natural number n and every coloring of the n-elem...