Mathematicians (and those in related sciences) very frequently speak of whether a mathematical object — a number, a function, a set, a space of one sort or another —'s "well-behaved" or not. The term has no fixed formal definition, and's dependent on mathematical interests, fashion, and taste. To ensure that an object's "well-behaved" mathematicians introduce further axioms to narrow down the domain of study. This has the benefit of making analysis easier, but cuts down on the genera… (More on Well-behaved)