MAT237Y1 : mat237 1-3inverseImage.pdf
Document Summary
This set is very important in the analysis of the limit, continuity and study of the sequences. Indeed this is an operation involving two mathematical objects: a function, fff and a set, u . Such an important operation deserves a name, and once a name is given to it then we can tell lots of stories about it and thus lots of facts about this operation will be revealed to us. Ok. so let"s call this operations as inverse image of u under fff ", and being mathematician we need a symbol for this name so that we can use it mathematically, so let"s denote it by fff (u ). The inverse of a function in general my or may not exist, but the inverse image always makes sense and it is a map that acts on a set and not a number.
