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Results tagged with algebraic-systems
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user 2233
Algebraic systems, relational structures. As considered in model theory, a structure (or a model) is a set endowed with a family of finitary relations and functions (operations). In some contexts, these can be represented by relational structures with some of the $(n+1)$-ary relations being viewed as $n$-ary functions. As considered in universal algebra, an algebraic structure is a structure with operations only.
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What happens if you strip everything but the “between” relation in metric spaces
There is a wide body of work on this in connection with the classic De Bruijn–Erdős theorem.
De Bruijn–Erdős Theorem. Every set of $n$ points in the
plane (not all lying on the same line) deter …
- 32.1k