Stone-Čech compactifications and homeomorphisms of products of the long line

Veerendra Vikram Awasthi, Parameswaran Sankaran

In this note we shall prove that the Stone-Čech compactification of ${\mathcal{L}}^n$ is the space ${\bar{\mathcal{L}}}^n$ where $\bar{\mathcal{L}}$ is the extended long line, namely,…