... or in nite, and a single point iscounted as an interval. Since a path is a map one can speak about its image,restrictions, etc. A length structure on a topological space X is a class A of admissiblepaths, ... path for maps of intervals: a pathγ in a (topological) space X is a (continuous) map γ : I → X defined onan interval I ⊂ R. By an interval we mean any connected subset of thereal line; it may ... mathematical disci-plines (such as Group Theory, Dynamical Systems, and Partial DifferentialEquations). However, we have a wider goal of giving an elementary intro-duction into a broad variety...