Geodesic
On Almost Regular Homeomorphisms
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1-6

Voir la notice de l'article provenant de la source Cambridge University Press

Let (X, d) be a metric space with metric d, and h be a homeomorphism of X onto itself. Any point y in X is called a regular point (2) under A if for any given ε > 0 there exists a δ > 0 such that d(x, y) < δ implies that d(hn(x), hn(y)) < ε for all integers n, where hn is the composition of h or h-1 with itself |n| times, depending upon whether n is positive or negative, and h 0 is the identity on X. If y is not regular under h, then y is called irregular. We shall denote the set of regular points by R(h) and the set of irregular points by I(h). 
Kaul, S. K. On Almost Regular Homeomorphisms. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1-6. doi: 10.4153/CJM-1968-001-5
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