We present an approach to mobile robot guidance. The proposed architecture grants an abstract interface to robot navigation allowing to bridge from perception to high level control. The approach is based upon a comprehensive map representing metric, configurational, and topological knowledge. Robot instruction and localization is dealt with by communicating and reasoning about cyclic ordering i...

Topological spaces can be induced by various algebraic ordering relations such as, linear, partial and the inclusion-ordering of open sets forming chains chain complexes. In general, classifications covering are made using fundamental groups lifting. However, Riesz ordered n-spaces Urysohn interpretations real-valued continuous functions as provide new perspectives. This paper proposes formulat...

Many algorithms for processing probabilistic networks are dependent on the topological properties of the problem's structure. Such algorithms (e.g., clustering, conditioning) are e ective only if the problem has a sparse graph captured by parameters such as tree width and cycle-cutset size. In this paper we initiate a study to determine the potential of structure-based algorithms in real-life a...

The influence of a stationary shear flow on the crystallization in a glassy system is studied by means of molecular dynamics simulations and subsequent cluster analysis. The results reveal two opposite effects of the shear flow on the processes of topological ordering in the system. Shear promotes the formation of separated crystallites and suppresses the appearance of the large clusters. The s...

Texture formation in a binary mixture of a flexible polymer and a liquid crystal has been studied using a nonlocal kinetic model for phase separation in the presence of liquid crystalline order. The model takes into account couplings between phase separation, phase ordering, and texture formation. The phase separation-phase ordering coupling leads to orientation normal to local concentration gr...

The quantum anomalous Hall (QAH) effect has been recently discovered in an experiment using a thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH insulator and uncover the fundamental phenomenon that the edge states exhibit a topologically stable spin texture in the boundary when a chiral-like symmet...

One goal of natural language generation is to produce coherent text that presents information in a logical order. In this paper, we show that topological fields, which model high-level clausal structure, are an important component of local coherence in German. First, we show in a sentence ordering experiment that topological field information improves the entity grid model of Barzilay and Lapat...