finitely generated
adjEtymology
From the study of generators. The motivation for calling topologies satisfying sense 1.5 "finitely generated" is that any topology satisfies sense 1.5 if and only if it is coherent with its finite subspaces. Thus, metaphorically, it is "generated" by them. The category-theoretic senses were created to generalize those of abstract algebra, and so were named identically.
Definitions
In any of several specific senses, such that all its elements can be created using (or…
In any of several specific senses, such that all its elements can be created using (or described by reference to) a finite set of elements, usually called generators:
The neighborhood
Vish — recursive loop
No curated loop yet for finitely generated. Loops are being traced one word at a time while the ingestion pipeline matures.
sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA