The Minkowski sum and the sumset have basically the same definition: $$A+B=\{a+b; a\in A, b\in B\}.$$ As far as I can tell, the first name is more often used when we're dealing with vectors (i.e., in vector spaces, linear normed spaces, topological vector spaces, perhaps topological groups, too), the other one is more frequent in number theory and additive combinatorics. (But the distinction might not always be clear.)

The tag exists at least since December 2013. I have collected some related stats in the tagging chatroom. At the moment, there are 94 questions tagged .

The tag was created in May 2023. At the moment, this tag contains 8 questions.

Since the tag exists for ten years, it is not very surprising that it is used in both meanings. Among the questions with this tag, there are 20 questions tagged real-analysis, 7 questions tagged general-topology, 6 questions tagged compactness

Question: Should these two tag be synonyms? Or would it be better to have two separate tags? If these two tags are kept as two distinct tags, what criteria should be use to choose the appropriate tag of the two?

(I will add that if the community decides that the tag should be kept as a standalone tag, some questions that are now tagged might need retagging.)

I am aware that there exists a big thread for discussing various tag synonyms - but since it is probable that the discussion here might include several options, a separate question seemed more suitable to me.

  • $\begingroup$ Well these are basically the same, basically. $\endgroup$ Jul 18, 2023 at 18:29
  • $\begingroup$ math.stackexchange.com/posts/4061611/revisions $\endgroup$ Jul 18, 2023 at 18:41
  • 1
    $\begingroup$ Because I like to name things for people (because I think this tells us something of the history of our field), I tend to prefer to retain the proper nouns. However, in this case, the sumset tag was more used (by a factor of 8), so I created a synonym which points from minkowski-sums to sumset, then merged the tags. $\endgroup$
    – Xander Henderson Mod
    Aug 18, 2023 at 12:58


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