dentable

Adjective

 * 1) Capable of being dented.
 * 2)  Admitting slices of arbitrarily small diameter, where a slice of C is a subset of the form $$S(\lambda,\alpha)$$ = $$\{y\in C\;|\; \lambda(y)\geq ||\lambda||_{\infty,C} - \alpha\}$$ for some $$\lambda\in Y^*$$ and some $$\alpha>0$$.
 * 1)  Admitting slices of arbitrarily small diameter, where a slice of C is a subset of the form $$S(\lambda,\alpha)$$ = $$\{y\in C\;|\; \lambda(y)\geq ||\lambda||_{\infty,C} - \alpha\}$$ for some $$\lambda\in Y^*$$ and some $$\alpha>0$$.