We present a new proof of Banaschewski's theorem stating that the completion lift of a uniform surjection is a surjection. The new procedure allows to extend the fact (and, similarly, the related theorem on closed uniform sublocales of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform subl...

Suppose that (M, G) is a Riemannian manifold and f : M → R is a submersion. Then the complete lift of f, f : TM → R defined by f = ∂f ∂xi y is also a submersion. This interesting case leads us to the investigation of the level hypersurfaces of f as a submanifold of tangent bundle TM . In addition, we prolonge the level hypersurfaces of f to N̄ = (f)(0). Also, under the condition ∇̂f is a constant...

An n-lift of a digraph K, is a digraph with vertex set V (K)× [n] and for each directed edge (i, j) ∈ E(K) there is a perfect matching between fibers {i} × [n] and {j} × [n], with edges directed from fiber i to fiber j. If these matchings are chosen independently and uniformly at random then we say that we have a random n-lift. We show that if h is sufficiently large then a random n-lift of the...

Killifish, Fundulus heteroclitus, subjected to artificial lift above their center of gravity (10% of body weight) required a minimum of 7-8 days to resorb swimbladder gases completely. The swimbladders of some fish, however, did not fall below 50% of normal volume. The rate of increase in swimbladder volume upon removal of lift varied little among individuals, with approximately 6 days required...

We examine Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type. We show that they are cyclic, and lift isomorphically to subgroups of the ambient group.

We study the K-group K1 of the group ring of a finite group over a coefficient ring which is p-adically complete and admits a lift of Frobenius. In this paper, we consider the image of K1 under the determinant map; the central tool is the group logarithm which we can define using the Frobenius lift. Using this we prove a fixed point theorem for the determinantal image of K1.

The classical sinus lift procedure is a well-documented technique and Schneiderian membrane perforation is one of the most common complications. Various repairs have been developed for managing sinus membrane perforations. We describe a new suture technique of Schneiderian membrane that makes it possible to complete a sinus lift procedure that otherwise might have been aborted by preventing los...

Traditional rhytidectomy techniques, such as the cutaneous lift, the superficial musculoaponeurotic system lift, the deep plane lift and the subperiosteal lift, are mostly differentiated by their different planes of dissection. As well, many of these techniques consider the complete mobilization of tissues a prerequisite for obtaining a satisfactory result.However, is it true that the result of...