Let B(κ, λ) be the subalgebra of P(κ) generated by [κ]. It is shown that if B is any homomorphic image of B(κ, λ) then either |B| < 2 or |B| = |B|, moreover if X is the Stone space of B then either |X| ≤ 2 λ or |X| = |B| = |B|. This implies the existence of 0-dimensional compact T2 spaces whose cardinality and weight spectra omit lots of singular cardinals of “small” cofinality.

We consider a theory in which supersymmetry is partially spontaneously broken and show that the dynamical fields in the same supersymmetric multiplet as the Goldstino are Gold-stone bosons whose corresponding generators are central charges in the underlying super-symmetry algebra. We illustrate how this works for four dimensional Born-Infeld theory and five brane of M theory. We conjecture, wit...

Let X be a completely regular space and let A(X) be a ring of continuous real-valued functions onX which is closed under local bounded inversion. We show that the structure space of A(X) is homeomorphic to a quotient of the Stone–Čech compactification of X. We use this result to show that any realcompactification of X is homeomorphic to a subspace of the structure space of some ring of continuo...

This paper is a continuation of the papers [5, 6] and also of [3, 4]. In it we prove some new Stone-type duality theorems for some subcategories of the category ZLC of locally compact zero-dimensional Hausdorff spaces and continuous maps. These theorems are new even in the compact case. They concern the cofull subcategories SkeZLC, QPZLC, OZLC and OPZLC of the category ZLC determined, respectiv...

Background and Aim: Disinfection of dental impression materials can alter their dimensional stability, which in turn can affect the accuracy of dental casts. This study aimed to determine the effect of three disinfectants on the dimensional changes of ir-reversible hydrocolloid impression materials and addition silicones. Materials and Methods: Forty alginate and 40 addition silicone impressio...