If $L$ is the rational long line, then $(L+1)^\omega$ is homogeneous by Stephen Watson

Electronic Version 16 (1991), 239-242

If L is the rational long line, then (L+1)^\omega is homogeneous

Stephen Watson

We establish that the direct sum of the rational long line and an isolated point is a zero-dimensional first countable space whose omega-power is homogeneous. The method is more general and shows that adding an isolated point to a ``very'' homogeneous space will not affect the homogeneity of the omega-power.

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