Hi, whenever I'm teaching basic category theory, students ask me if there is a connection between limits in the categorical sense and limits in the analytical sense, e.g. the limit of a sequence of real numbers. I've never found an answer to this question. So I'd be very grateful for answers to one of the following: - Can the limit of a sequence of real numbers be expressed as a categorical limit (of course it can if the sequence is monotone, but what if it is not)? - Why have people chosen the term "limit" in category theory? (And, by the way, who has defined it first?) Many thanks in advance Tobias -------------------------------------------------------------- Tobias Schröder FB Mathematik und Informatik Philipps-Universität Marburg WWW: http://www.mathematik.uni-marburg.de/~tschroed email: tschroed@mathematik.uni-marburg.de