Preservation of complete Baireness

BAIRENESS OF Ck(X) FOR ORDERED X

We show that if X is a subspace of a linearly ordered space, then Ck(X) is a Baire space if and only if Ck(X) is Choquet iff X has the Moving Off Property.

A theorem of Todorcevic on universal Baireness

Given a cardinal κ, a set A ⊂ ω is κ-universally Baire if there exist trees S, T which project to A and its complement respectively, and which continue to project to complements after the forcing Coll(ω, κ). Todorcevic [3] has shown that under Martin’s Maximum every set of reals of cardinality א1 is א1-universally Baire but not א2-universally Baire. Here we present alternate proofs of these two...

Preservation of M. gallisepticum Antigen

A pointfree version of remainder preservation

Recall that a continuous function $fcolon Xto Y$ between Tychonoff spaces is proper if and only if the Stone extension $f^{beta}colon beta Xtobeta Y$ takes remainder to remainder, in the sense that $f^{beta}[beta X-X]subseteq beta Y-Y$. We introduce the notion of ``taking remainder to remainder" to frames, and, using it, we define a frame homomorphism $hcolon Lto M$ to be $beta$-proper, $lambd...

Applications of Essential Oils in Food Preservation

Many food products are perishable by nature and require protection from spoilage during their preparation, storage and distribution to give them desired shelf-life. Because food products are now often sold in areas of the world far distant from their production sites, the need for extended safe shelf-life for these products has also expanded. Currently, there is a strong debate about the safety...