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We present a unified study of functorial quasi-uniformities on frames by means of Weil entourages and frame congruences. In particular, we use the pointfree version of the Fletcher construction, introduced by the authors in a previous paper, to describe all functorial transitive quasiuniformities. (2000): 06D22, 54B30, 54E05, 54E15, 54E55. Mathematics Subject Classifications

Up to now point-free insertion results have been obtained only for semicontinuous real functions. Notably, there is now available a setting for dealing with arbitrary, not necessarily (semi-)continuous, point-free real functions, due to Gutiérrez García, Kubiak and Picado, that gives point-free topology the freedom to deal with general real functions only available before to point-set topology. As a first example of the usefulness of that setting, we apply it to characterize completely normal frames in terms of an insertion result for general real functions. This characterization extends a well known classical result of T. Kubiak about completely normal spaces. In addition, characterizations of completely normal frames that extend results of H. Simmons for topological spaces are presented. In particular, it follows that complete normality is a lattice-invariant property of spaces, correcting an erroneous conclusion in [Y.-M. Wong, Lattice-invariant properties of topological spaces,

In pointfree topology, the point-finite covers introduced by Dowker and Strauss do not behave similarly to their classical counterparts with respect to transitive quasi-uniformities, contrarily to what happens with other familiar types of interior-preserving covers. The purpose of this paper is to remedy this by modifying the definition of Dowker and Strauss. We present arguments to justify that this modification turns out to be the right pointfree definition of point-finiteness. Along the way we place point-finite covers among the classes of interior-preserving and closure-preserving families of covers that are relevant for the theory of (transitive) quasi-uniformities, completing the study initiated with [6].

stiffness and pulse wave velocity / Aorta and carotid arteries 137 (0.94 to 1.01) p = 0.096; Obesity OR = 0.47 (0.29 to 1.77) p = 0.003 and Diabetes OR = 2.41 (1.15 -5.05) p = 0.020. Conclusions: According to the results obtained, genetic polymorphisms variables were not in the multivariate analysis equation to determine the increase of the PWV, which can be explained either by being included in the selected variables such as hypertension, or on the other hand, they may not have enough strength to remain in the equation. So, according to this study, PWV has much more to do with behaviors and traditional risk factors than the genetic heritage.P883 Endothelial dysfunction, pulse wave velocity and augmentation index are correlated in subjects with systemic arterial hypertension?