Under some cardinal arithmetic assumptions, we prove that every stationary of λ of a right cofinality has the weak diamond. This is a strong negation of uniformization. We then deal with a weaker version of the weak diamond-colouring restrictions. We then deal with semi-saturated (normal) filters.

The microstructure and mechanical properties of 7075 wrought aluminum alloy produced by strain induced melt activation (SIMA) route were investigated.Also liquid volume fraction measurement was studied by three procedures. Remelting process was carried out in the range of 560 to 610 °C for 20 min holding. The microstructure in the semi-solid state consists of fine spherical solid grains surroun...

We define the notion of weak relative pseudo-complement on meet semi-lattices, and we show that it is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main result is that if a complete lattice L is meet-continuous, then every closure operator on L admits weak relative pseudo-complements with respect to continuous closure operators on L.

In this paper, the local function, weak semi-local function and closure are compared with each other according to inclusion relation. We define a new operator by using investigate its properties. Thanks operator, we obtain two topologies which finer than some previously defined topologies.

Let V be a vertex operator algebra. It is shown that the categories of weak, admissible and ordinary g-twisted modules for the tensor product VOA V ⊗k are isomorphic to the categories of weak, admissible and ordinary V -modules respectively where g is a k cycle automorphism of V ⊗k. For arbitrary permutation automorphism g of V ⊗k the category of admissible g-twisted modules for V ⊗k is semi si...

In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).

Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every preand-post-selected ensemble. They also extend the applicability and valid regime of weak values.