Global Health 2035, the report of The Lancet Commission on Investing in Health, laid out a bold, highly ambitious framework for making rapid progress in improving global public health outcomes. It showed that with the right health investments, the international community could achieve a “grand convergence” in global health—a reduction in avertable infectious, maternal, and child deaths down to ...

The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

<span>This paper defined a new type of topology known as Interior topology. This work falls among the types (such general topology, supra generalized and filter) that are motivated by real-world concepts such orbits planets around sun, electron nucleus, so on. form is self-contained. The primary objective this study to respond question “Is capable producing topology?”. Finally, we define ...

We present a denotational semantics based on Banach spaces ; it is inspired from the familiar coherent semantics of linear logic, the role of coherence being played by the norm : coherence is rendered by a supremum, whereas incoherence is rendered by a sum, and cliques are rendered by vectors of norm at most 1. The basic constructs of linear (and therefore intuitionistic) logic are implemented ...

Based on the theory of Fermat reals we introduce new topologies on spaces of Colombeau generalized points and derive some of their fundamental properties. In particular, we obtain metric topologies on the space of near-standard generalized points that induce the standard Euclidean topology on the reals. We also give a new description of the sharp topology in terms of the natural extension of th...

Abstract We consider the binary supremum function $$\sup :Z\times Z\rightarrow Z$$ sup : Z × → on a sup semilattice Z and its topological properties with respect to Scott topology product topology. It is well known that...

Abstract In this paper, interesting properties of the generalized topological spaces, generated by monotonic maps $$\sigma = (cl_{\delta }\circ int_{\delta }),$$ σ = ( c l δ ∘ i<...

Let (X, d) a metric space and BX = X × R denote the partially ordered set of (generalized) formal balls in X. We investigate the topological structures of BX, in particular the relations between the Lawson topology and the product topology. We show that the Lawson topology coincides with the product topology if (X, d) is a totally bounded metric space, and show examples of spaces for which the ...