Letter L and Letter T are not Homeomorphic/Mistake

Source Work

1975: W.A. Sutherland: Introduction to Metric and Topological Spaces:

$3$: Continuity generalized: topological spaces:

$3.6$: Homeomorphisms:

Examples $3.6.2 \ \text{(d)}$

Mistake

The letter $\mathsf L$ and the letter $\mathsf T$ (defined as in $\text{(c)}$) are not homeomorphic.

Correction

The letter $\mathsf T$ is actually not defined in $\text{(c)}$.

In fact, nowhere in W.A. Sutherland: Introduction to Metric and Topological Spaces can a definition for the letter $\mathsf T$ actually be found.

The definition as provided on $\mathsf{Pr} \infty \mathsf{fWiki}$ has been created from the viewpoint of an intuitive understanding of the material and a plausible interpretation.

Sources

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