We reprove and generalize in a combinatorial way the result of A. Björner, [Bj81, Theorem 3.3], that order complexes of noncomplemented lattices are contractible, namely by showing that these simplicial complexes are in fact nonevasive, in particular collapsible.

The dynamic response of foundation rest on collapsible soil in dry and soaked states is studied through wide experimental programmed. Gypseous from Tikrit governorate area was obtained subjected to various physical chemical analysis determine its properties. Steel rectangular footing (400x200x20) mm manufactured. machine fitted the footing, then model placed centrally over prepared layer steel ...

This paper presents a tool for creating and visualising formal concept trees. The concept tree provides an alternative visualisation to the more commonly known concept lattice. The tool described here is an extension of the In-Close formal concept mining program, where concepts are output in a format that can be visualised in a Web Browser using the Collapsible Tree Layout from the D3.js JavaSc...

Idiopathic intracranial hypertension (IIH) is a syndrome of unknown etiology characterized by elevated intracranial pressure (ICP). Although a stenosis of the transverse sinus has been observed in many IIH patients, the role this feature plays in IIH is in dispute. In this paper, a lumped-parameter model is developed for the purpose of analytically investigating the elevated pressures associate...

Let K be a simplicial complex and suppose that K collapses onto L. Define n to be 1 minus the minimum number of collapsible sets it takes to cover L. Then the discrete Lusternik–Schnirelmann category of K is the smallest n taken over all such L. In this paper, we give an algorithm which yields an upper bound for the discrete category. We show our algorithm is correct and give several bounds for...

Two patients presented to the University of Illinois at Chicago Eye and Ear Infirmary within 1 year with penetrating eye injuries caused by similar collapsible cloth and wire laundry hampers. Penetrating eye injuries in children are relatively rare but can result in poor visual outcomes and multiple vision-threatening complications. Both injuries at the University of Illinois resulted in an eye...

A three-dimensional computer model has been developed to simulate fluid flow through a collapsible tube. The model is based on the immersed boundary method, which is designed to handle a flexible elastic boundary immersed in fluid. This internal boundary is both affected by and has an effect on the motion of the fluid. The setup for collapsible tube simulation involves a fiber-wound elastic tub...