Pet peeve: The word "just" when used to gloss over something with the author don't know how to explain. Using "just" shift the burden from the author to the reader, since it signals it is the readers fault if they don't understand. > A homomorphism is just a structure preserving map. In fact, a functor is just a homomorphism between categories as it preserves the original category's structure under the mapping. How a…
Mathematicians use "just" with a specific meaning: it is not used to gloss over something that the author doesn't know how to explain. It has a purpose, useful for mathematically trained readers. For suc a reader, "a homomorphism is just a structure preserving map" makes it clear that "homomorphism" and "structure-preserving map" can be used interchangably, and that by understanding one of the concepts, you'll immedi…
Math students coming from another discipline?
Only some people will understand the technical meaning of "just" as intended