topological space
A foundational concept in topology, a branch of mathematics, that formalizes the notion of closeness and continuity within a set.
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Definition
C2Mathematics
(technical, academic)A set paired with a collection of subsets that includes the set itself and the empty set, and is closed under arbitrary unions and finite intersections.
Example
- In a topological space, the open sets define the structure and properties of the space.
- Understanding topological spaces is essential for studying continuity and limits in advanced mathematics.
Similar
Terms that have similar or relatively close meanings to "topological space":