A THEROSCLEROSIS, fibrous proliferation, or primary dissecting aneurysm of main renal arteries or their primary branches may cause hypertension and can alter renal blood flow, filtration rate, sodium excretion, and water reabsorption." 2 Mechanisms of the changes in sodium and water transport are not fully understood; they may include decreases in intrarenal arterial pressure, glomerular filtra...

Instead of maintaining such a decomposition explicitly, it is convenient to construct a compressed quadtree T of the points of P , and every pair, (Ai, Bi) is just a pair of nodes (vi, ui) of T , such that Ai = Pvi and Bi = Pui , where Pv denote the points of P stored in the subtree of v, where v is a node of T . This gives us a compact representation of the distances. We slightly modify the co...

Last quarter, we introduced the closed diagonal condition for a prevariety to be a prevariety, and the “universally closed” condition for a variety to be complete. Earlier this quarter, we verified that in the case of complex prevarieties, these conditions are equivalent to the analytic topology being Hausdorff and compact, respectively. As we’ve discussed, in the scheme context a prevariety co...

We discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these inherit their categorical properties from monad. further observe various constructions such as prime open filter defined H. Simmons, closed compactification studied Bentley and Herrlich, well separa...