Abstract This paper deals with the periodic unfolding for sequences defined on one dimensional lattices in $${\mathbb {R}}^N$$ R N . In order to transfer known results of lattices, investigation functions as interpolation lattice nodes play main r...

The theory of bounded, distributive lattices provides the appropriate language for describing directionality and asymptotics in dynamical systems. For general notion ‘set-difference’ taking values a semilattice is introduced, called Conley form. form used to build concrete, set-theoretic models spectral spaces, or Priestley their finite coarsenings. Such representations formulate compute order-...

In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it i...

latticed columns are frequently used in industrial steel structures. in some countries these built-up columns might be even used in other types of steel structures such as residential and commercial buildings. besides, latticed columns are parts of skeletons of many historic buildings all around the world. to analyze a steel structure with latticed columns a more accurate numerical model for su...