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Questions of the kind "What's the name for a X that satisfies property Y?"

24 votes
1 answer
3k views

Universal group?

Is there any closely related terminology? P.S. The group which I construct is in fact hyperbolic. The construction is simple, but it takes 2--3 pages. Let me know if you see a short way to do it. …
Anton Petrunin's user avatar
4 votes
0 answers
157 views

Name for a chain-like graph

Is there a name for graphs of the following type? Namely, it has an integer function $\ell$ on the set of the vertex set such that $v$ is adjacent to $w$ if and only if $$|\ell(v)-\ell(w)|\le 1.$$ Po …
Anton Petrunin's user avatar
16 votes
2 answers
3k views

Metric on one-point compactification

Is there a standard construction of a metric on one-point compactification of a proper metric space? Comments: A metric space is proper if all bounded closed sets are compact. Standard means found in …
Anton Petrunin's user avatar
3 votes
4 answers
511 views

Terminology for polygons

As you may know term "polygon" might mean few different things and its meaning has to guessed from context. By some reason I have to use few of these meaning in one place. So I converge to the follo …
Anton Petrunin's user avatar
7 votes
1 answer
623 views

A variation of Minkowski sum

I have to work with the following variation of Minkowski sum: Let $\mathbb E$ be a Euclidean space and $K$ be a convex set in $\mathbb E\times \mathbb E$. Set $$K^+=\{\\,x+y\in\mathbb E\mid(x …
Anton Petrunin's user avatar
32 votes
2 answers
1k views

Term for "uncheckable constructions"

Is there a term for "uncheckable geometric constructions"? Say, Angle Trisection and Doubling the Cube are checkable; i.e., if the answer is given one can do finite Compass-and-straightedge construct …
Anton Petrunin's user avatar