Sentence:  It will be useful to observe that a nonempty bounded set C is <WSD>dentable</WSD> if its closed convex hull is dentable... 
Meaning of the word marked with <WSD> tags:  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.