Geodesic
Proximate Groups of Higher Order
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 587 .

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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.
Classification : 55P55 54C56
Keywords: Pointed homotopy over a covering, pointed proximate net, $n$-dimensional proximate loop, proximate group of higher order, induced function 
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     author = {Aneta Velkoska and Nikita Shekutkovski and Zoran Misajleski},
     title = {Proximate {Groups} of {Higher} {Order}},
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Aneta Velkoska; Nikita Shekutkovski; Zoran Misajleski. Proximate Groups of Higher Order. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 587 . http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a6/