A note on nowhere dense sets in
A Note On Reproductive Solutions
A note on reproductive solutions.
A note on strong compactness and resurrectibility
We construct a model containing a proper class of strongly compact cardinals in which no strongly compact cardinal ĸ is supercompact and in which every strongly compact cardinal has its strong compactness resurrectible.
A note on strong negative partition relations
We analyze a natural function definable from a scale at a singular cardinal, and use it to obtain some strong negative square-brackets partition relations at successors of singular cardinals. The proof of our main result makes use of club-guessing, and as a corollary we obtain a fairly easy proof of a difficult result of Shelah connecting weak saturation of a certain club-guessing ideal with strong failures of square-brackets partition relations. We then investigate the strength of weak saturation...
A note on -norm-based operations on fuzzy intervals
A note on the cardinal factorial
A note on the intersection ideal
We prove among other theorems that it is consistent with that there exists a set which is not meager additive, yet it satisfies the following property: for each measure zero set , belongs to the intersection ideal .
A note on the prime ideal theorem
A note on the Ramsey-type theorem of Erdös
A note on the structure of WUR Banach spaces
We present an example of a Banach space admitting an equivalent weakly uniformly rotund norm and such that there is no , for any set , linear, one-to-one and bounded. This answers a problem posed by Fabian, Godefroy, Hájek and Zizler. The space is actually the dual space of a space which is a subspace of a WCG space.
A note on the λ-Shelah property
A note on tolerance lattices of finite chains
A note on tolerance lattices of products of lattices
A note on Tsirelson type ideals
Using Tsirelson’s well-known example of a Banach space which does not contain a copy of or , for p ≥ 1, we construct a simple Borel ideal such that the Borel cardinalities of the quotient spaces and are incomparable, where is the summable ideal of all sets A ⊆ ℕ such that . This disproves a “trichotomy” conjecture for Borel ideals proposed by Kechris and Mazur.
A note on -ultrafilters and -points
A Note On Ultrapower Cardinality
A note on ultrapower cardinality.
A note on weak distributivity and continuous restrictions of Borel functions
A notion of measure for classes in AST