κ -Ohio completeness

SMALL u κ AND LARGE 2 κ FOR SUPERCOMPACT κ

Garti and Shelah [2] state that one can force uκ to be κ+ for supercompact κ with 2κ arbitrarily large, using the technique of Džamonja and Shelah [1]. Here we spell out how this can be done. §

Compactification of κ-Frames

Completeness and quasi-completeness

The appropriate general completeness notion for topological vector spaces is quasi-completeness. There is a stronger general notion of completeness, which proves to be too strong in general. For example, the appendix shows that weak-star duals of infinite-dimensional Hilbert spaces are quasi-complete, but never complete in the stronger sense. Quasi-completeness for Fréchet spaces is ordinary me...

Ohio University

Nitric oxide (NO) is a unique diffusible molecule in the vascular and nervous systems. Endogenous NO can modulate neuronal physiology and pathology by participating in many signaling pathways. Zinc is an essential metal ion for the body. In neurons, most zinc is accumulated in different intracellular pools. Recently, zinc was shown to modulate different physiological functions by acting as a si...

Cardinal characteristics at κ in a small u(κ) model

We provide a model where u(κ) < 2κ for a supercompact cardinal κ. [10] provides a sketch of how to obtain such a model by modifying the construction in [6]. We provide here a complete proof using a different modification of [6] and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that...