Proximate Groups of Higher Order

Aneta Velkoska, Nikita Shekutkovski, Zoran Misajleski

Using the intrinsic definition of shape based on proximate sequences for compact and all topological spaces based on proximate nets indexed by open coverings in the paper Shekutkovski \cite{ex3} we define proximate fundamental group. In this paper will be introduced proximate groups of higher order and it will be shown that these groups are invariants of pointed intrinsic shape.