In this paper we study those generic intervals in the Bruhat order of the symmetric group that are isomorphic to the principal order ideal of a permutation w, and consider when the minimum and maximum elements of those intervals are related by a certain property of their reduced words. We show that the property does not hold when w is a decomposable permutation, and that the property always hol...

A new method is proposed to prepare micron-sized anisotropic-shaped particles: tetrahedral structures bounded by 〈1 1 1〉 faces. It is based on the micromachining of 〈1 1 1〉-oriented silicon wafers and retraction edge lithography (REL). The size of these Si structures is tunable but limited: roughly from 20 to 2000 nm. The importance of this method is that the fabricated structure resembles almo...

We prove some general results on sequential convergence in Frechet lattices that yield, as particular instances, the following regarding a closed ideal \(I\) of Banach lattice \(E\): (i) If two \(E\), and \(E/I\) have positive Schur property (the property, respectively) then third has well; (ii) dual \(E\) also this property; (iii) weak Dunford-Pettis property. Examples applications are provided.

We investigate Tukey functions from the ideal of all closed nowhere dense subsets of 2N. In particular, we answer an old question of Isbell and Fremlin by showing that this ideal is not Tukey reducible to the ideal of density zero subsets of N. We also prove non-existence of various special types of Tukey reductions from the nowhere dense ideal to analytic P-ideals. In connection with these res...

Let R be a commutative ring, (f) an ideal of R, and E = K(f ;R) the Koszul complex. We investigate the structure of the Tate construction T associated with E. In particular, we study the relationship between the homology of T , the quasi-complete intersection property of ideals, and the complete intersection property of (local) rings.

In this paper we consider the open complement U of a hypersurface Y = V (a) in an affine scheme X. We study the relations between the affineness of U , the intersection of Y with closed subschemes, the property that every closed surface in U is affine, the property that every analytic closed surface is Stein and the superheight of a defining ideal a.

OBJECTIVES To correlate the recurrence of temporalis fascia graft perforation and retraction in adults and children after tympanoplasty for chronic tubotympanic otitis and deep attic retraction pockets with age, pathologic process, mucosal lesions, mucociliary transport time, chronic sinusitis, and lateral attic wall reconstruction. DESIGN Retrospective study. SETTING Tertiary referral cent...

Tonic stimuli can elicit rhythmic responses. The neural circuit underlying Aplysia californica consummatory feeding was used to examine how a maintained stimulus elicits repetitive, rhythmic movements. The command-like cerebral-buccal interneuron 2 (CBI-2) is excited by tonic food stimuli but initiates rhythmic consummatory responses by exciting only protraction-phase neurons, which then excite...

OBJECTIVE To compare the amount of anchorage loss of the maxillary posterior teeth and amount of retraction of the maxillary anterior teeth between en masse retraction and two-step retraction of the anterior teeth. MATERIALS AND METHODS The sample consisted of 30 female adult patients with Class I malocclusion and lip protrusion who needed maximum posterior anchorage. The sample was subdivide...