Definition:Underlying Set/Topological Space
< Definition:Underlying Set(Redirected from Definition:Underlying Set of Topological Space)
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
Then the underlying set of $T$ is the set $S$.
Sources
- 1975: Bert Mendelson: Introduction to Topology (3rd ed.) ... (previous) ... (next): Chapter $3$: Topological Spaces: $\S 2$: Topological Spaces: Definition $2.1$