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Given two ordinal $\lambda$ and $\gamma$, let $f:[0,\lambda) \rightarrow[0,\gamma)$ be a function such that, for each $\alpha<\gamma$, $\sup\{f(t):t\in[0, \alpha]\}<\gamma.$ We define a mapping $d_{f}: [0,\lambda)\times[0,\lambda) \longrightarrow [0,\gamma)$ by the rule: if $x<y$ then $d_{f}(x,y)=d_{f}(y,x)= \sup\{f(t): t\in(x,y]\}$, $d(x,x)=0$. The pair $([0,\lambda),d_{f})$ is called a $\gamma-$comb defined by $f$. We show that each cellularordinal ballean can be represented as a $\gamma-$comb. In {\it GeneralAsymptology}, cellular ordinal balleans play a part of ultrametric spaces.

The comb-like representations of cellular ordinal balleans