Approximate topology on ${\rm Rep}(A)$

Approximate Geodesics on Smooth Surfaces of Arbitrary Topology

This paper introduces a new approach for computing large number of approximate geodesic paths from a given point to all directions on a 3D model (mesh or surface) of arbitrary topology. The basic idea is to unfold the 3D model into a flat surface so that the geodesic from a given point in a given direction can be obtained simply by drawing a straight line from the given point along the given di...

RePa Requirements Pattern Template

This template has been derived and adapted from the literature for requirements patterns. It consists of three types of sections, two of which are described in this document, including required and optional sections, where required sections are denoted by an asterisk in front of the section names. Additional custom sections that the authors feel useful for the submitted patterns may be added. E...

Topology on Coalgebras

On invariant sets topology

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

Topological superconductor in quasi-one-dimensional ${\rm Tl}_{2-x}{\rm Mo}_6{\rm Se}_6$