# 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