topology
This term describes a way of looking at space where distance and angle are irrelevant, focusing instead on how parts are connected. It evokes an image of a rubber sheet that can be stretched, twisted, or bent, but not torn or glued, meaning a coffee cup and a donut are seen as identical because one can be morphed into the other. In technical environments, it shifts from a mathematical abstraction to a structural blueprint. It refers to the architectural map of a system, determining how data flows and where potential points of failure exist in a hardware or software ecosystem.
Countable when referring to a specific network layout (a ring topology). Uncountable when referring to the branch of mathematics.
Meanings
The study of the properties of a geometric object that remain unchanged under continuous deformation.
"The professor specializes in algebraic topology."