Size pair

In size theory, a size pair is a pair $(M,\varphi )$, where $M\$ is a compact topological space and $\varphi :M\to \mathbb {R} ^{k}$ is a continuous function. The function $\varphi$ is called a measuring function. The topological space $M\$ is usually assumed to be also a locally connected and Hausdorff space.

See also

• Size theory
• Size function
• Size functor
• Size homotopy group
• Natural pseudodistance