  We give a survey with some explanations but no proofs of the new notion of
b-minimality by the author and F. Loeser [b-minimality, J. Math. Log., 7 no. 2
(2007) 195--227, math.LO/0610183]. We compare this notion with other notions
like o-minimality, C-minimality, p-minimality, and so on.
