Definition:Tychonoff Corkscrew/Deleted

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

• Deleted Tychonoff Corkscrew is Topology

• 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