Definition:Tychonoff Corkscrew/Deleted
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Definition
Let $T = \struct {S, \tau}$ denote the Tychonoff corkscrew.
Let $a^-$ denote the distinguished point of $S$ considered as being the infinity point at the bottom of $T$.
The deleted Tychonoff corkscrew is the topological subspace defined as:
- $T_\infty = \struct {S \setminus \set {a^-}, \tau}$
Also see
- Results about the deleted Tychonoff corkscrew can be found here.
Source of Name
This entry was named for Andrey Nikolayevich Tychonoff.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.): Part $\text {II}$: Counterexamples: $91$. Deleted Tychonoff Corkscrew