Absolutely superficial sequences

Exchangeable Sequences Driven by an Absolutely Continuous Random Measure

Let S be a Polish space and (Xn : n ≥ 1) an exchangeable sequence of S-valued random variables. Let αn(·) = P ( Xn+1 ∈ · | X1, . . . , Xn ) be the predictive measure and α a random probability measure on S such that αn weak −→ α a.s.. Two (related) problems are addressed. One is to give conditions for α λ a.s., where λ is a (non random) σ-finite Borel measure on S. Such conditions should concer...

Absolutely Rigid Systems and Absolutely Indecomposable Groups

We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal κ(ω). Added December 2004: The proofs of Theorems 0.2 and 0.3 are not correct, and the clai...

Incorporation of influenza A virus genome segments does not absolutely require wild-type sequences.

The efficient incorporation of influenza virus genome segments into virions is mediated by cis-acting regions at both ends of the viral RNAs. It was shown previously that nt 16-26 at the 3' end of the non-structural (NS) viral RNA of influenza A virus are important for efficient virion incorporation and that nt 27-56 also contribute to this process. To understand further the signalling requirem...

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly finitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented cyclic S-posets is isomorphic to a factor S-poset of a pomonoid S by a finitely generated right con...

On Absolutely Continuous Transformations