Invariants of topological G-conjugacy on G-spaces

Abstract

In this paper we present invariant dynamical properties under G-conjugacy. Moreover we introduce the notions of G-minimal systems, strong G-shadowing property and limit G-shadowing property and we show that these properties are invariant under topological G-conjugacy.

Keywords

• Topological G-conjugacy
• strong G-shadowing
• G-minimal
• G-expansive
• G-Space