Electronic topology in metallic kagome compounds is under intense scrutiny. We present transport experiments ${\mathrm{Na}}_{2/3}\mathrm{Co}{\mathrm{O}}_{2}$ which the Na order differentiates a Co sublattice triangular $\mathrm{Co}{\mathrm{O}}_{2}$ layers. Hall and magnetoresistance (MR) data high fields give evidence for coexistence of light heavy carriers. At low temperatures, dominant carrie...

Generalising Nachbin's theory of ``topology and order'', in this paper we   continue the study of quantale-enriched categories equipped with a compact   Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces   with ultrafilter-quantale-enriched categories, and show that the presence of a   compact Hausdorff topology guarantees Cauchy completeness and (suitably   defined) ...

in this paper, a new circuit is proposed for step-up z-source inverter based on qzsi (quasi-z-source inverter). the proposed topology inherits all advantages of the conventional topology. the proposed topology in comparison with conventional topology reduces the st (shoot-through) duty cycle by over 25% at the same voltage boost factor. theoretical analysis of the proposed qzsi in the st and no...

Throughout the sequel, E denotes a reflexive real Banach space and E∗ its topological dual. We also assume that E is locally uniformly convex. This means that for each x ∈ E, with ‖x‖ = 1, and each > 0, there exists δ > 0 such that, for every y ∈ E satisfying ‖y‖ = 1 and ‖x− y‖ ≥ , one has ‖x + y‖ ≤ 2(1 − δ). Recall that any reflexive Banach space admits an equivalent norm with which it is loca...

let  be a graded ring and  be a graded -module. we define a topology on graded prime spectrum  of the graded -module  which is analogous to that for , and investigate several properties of the topology.

in this paper, a pointwise pseudo-metric function on the l-realline is constructed. it is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

Geometry constrains but does not dictate the topology of the three-dimensional space. In a locally spatially homogeneous and isotropic universe, however, the topology of its spatial section dictates its geometry. We show that, besides determining the geometry, the knowledge of the spatial topology through the circles-in-the-sky offers an effective way of setting constraints on the density param...

The configuration-space topology in canonical General Relativity depends on the choice of the initial data 3-manifold. If the latter is represented as a connected sum of prime 3-manifolds, the topology receives contributions from all configuration spaces associated to each individual prime factor. There are by now strong results available concerning the diffeomorphism group of prime 3-manifolds...

Remark. The non-archimedean topology: Recall that if K is a field with a val­ uation | |, then it also is a metric space with d(x, y) = |x − y|. The topology has a basis of open neighborhoods given by B(x, ǫ) = {y ∈ K | |x − y| < ǫ}. If the valuation is nonarchimedean, then this metric space or topology is rather bizarre. For instance, the open balls don’t have a unique center: in fact, if we t...

An intuitionistic analysis of the relationship between pointfree and pointwise topology brings new notions to light that are hidden from a classical viewpoint. In this paper, we introduce one of these, namely the notion of reducibility for a pointfree topology, which is classically equivalent to spatiality. We study its basic properties and we relate it to spatiality and to other concepts in co...