In this article the frame-theoretic account of what is archimedean for order-algebraists, and semisimple for people who study commutative rings, deepens with the introduction of J -frames: compact normal frames that are join-generated by their saturated elements. Yosida frames are examples of these. In the category of J -frames with suitable skeletal morphisms, the strongly projectable frames a...

The human class II major histocompatibility complex protein HLA-DR1 has been shown previously to undergo a distinct conformational change from an open to a compact form upon binding peptide. To investigate the role of peptide in triggering the conformational change, the minimal requirements for inducing the compact conformation were determined. Peptides as short as two and four residues, which ...

It will be convenient to call a space X a ParoviZenko space if (cy) X is a zero-dimensional compact space without isolated points, (p) every two disjoint open F,-sets have disjoint closures, and (y) every nonempty GG-set in X has non-empty interior. Compact spaces satisfying (p) are usually called F-spaces, while spaces satisfying (y) are called almost-P spaces. Examples of F-spaces are the ext...

We discuss how to calculate form factors using a holographic model of QCD, mainly focusing on vector, axial, and pseudoscalar mesons. We illustrate the techniques on gravitational form factors (which are useful for constraining the generalized parton distributions) as well as quoting the results for electromagnetic form factors. One striking outcome, comparing the several types of calculated fo...

We assume that ‖ψ‖2 = 1. We also assume that the spectral parameter of ψ is of the form tλ, where t> 1 and λ ∈ B∗, and B∗ is a fixed compact regular subset of a∗. Let Ω ⊆ X be a compact set. Let E ⊂Ω be a ball of radius 1 inside a maximal flat subspace of S. It was proved in [14, Theorem 1.2] that ‖ψ |E‖2 B∗,Ω t3/4, and moreover that this bound is sharp on the compact globally symmetric space S...

Abstract We study the behavior of a general gravitational action, including quadratic terms in the curvature, supplemented by a compact scalar field in 4 + 1 dimensions. The generalized Einstein equation for this system admits solutions which are compact in one direction and Poincaré invariant in the remaining directions. These solutions do not require any fine-tuning of the parameters in the a...

Abstract. We study random vectors of the form (Tr(AV ), . . . ,Tr(AV )), where V is a uniformly distributed element of a matrix version of a classical compact symmetric space, and the A are deterministic parameter matrices. We show that for increasing matrix sizes these random vectors converge to a joint Gaussian limit, and compute its covariances. This generalizes previous work of Diaconis et ...

In this note we construct a first example of a closed 3-form of G̃2-type on S 3 × S. We prove that S × S does not admit a homogeneous 3-form of G̃2-type. Thus our example is a first example of a closed 3-form of G̃2-type on a compact 7-manifold which is not stably homogeneous.

In this article we introduce the concept of $z^circ$-filter on a topological space $X$. We study and investigate the behavior of $z^circ$-filters and compare them  with corresponding ideals, namely, $z^circ$-ideals of $C(X)$,  the ring of real-valued continuous functions on a completely regular Hausdorff space $X$. It is observed that $X$ is a compact space if and only if every $z^circ$-filter ...

‎It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$‎. ‎Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology‎, ‎which is compact by the Banach--Alaoglu theorem‎. ‎We prove that the compact Hausdorff space $X$ can ...