The concept of size homotopy group is analogous in size theory of the classical concept of homotopy group. In order to give its definition, let us assume that a size pair ( M , φ ) {\displaystyle (M,\varphi )} is given, where M {\displaystyle M} is a closed manifold of class C 0 {\displaystyle C^{0}\ } and φ : M → R k {\displaystyle \varphi :M\to \mathbb {R} ^{k}} is a continuous function.
The concept of size homotopy group is analogous in size theory of the classical concept of homotopy group. In order to give its definition, let us assume that a size pair ( M , φ ) {\displaystyle (M,\varphi )} is given, where M {\displaystyle M} is a closed manifold of class C 0 {\displaystyle C^{0}\ } and φ : M → R k {\displaystyle \varphi :M\to \mathbb {R} ^{k}} is a continuous function.
Source: Wikipedia "Size homotopy group" · CC BY-SA 4.0
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