Definition:Letter L

Definition

The letter $\mathsf L$ is the topological subspace of the real number plane $\R^2$ under the Euclidean topology defined as:

$\mathsf L := \paren {\closedint 0 1 \times \set 0} \cup \paren {\set 0 \times \closedint 0 1}$

Also see

• Definition:Letter T

• Results about letter $\mathsf L$ can be found here.

Sources

• 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $3$: Continuity generalized: topological spaces: $3.6$: Homeomorphisms: Examples $3.6.2 \ \text{(c)}$