research

Multidimensional C0C^0 transversality

Abstract

In 1994, Sakai introduced the property of C0C^0 transversality for two smooth curves in a two-dimensional manifold. This property was related to various shadowing properties of dynamical systems. In this short note, we generalize this property to arbitrary continuous mappings of topological spaces into topological manifolds. We prove a sufficient condition for the C0C^0 transversality of two submanifolds of a topological manifold and a necessary condition of C0C^0 transversality for mappings of metric spaces into Rn\mathbb{R}^n.Comment: 9 page

    Similar works

    Full text

    thumbnail-image

    Available Versions