Abstract
The Misner space is a simplified 2-dimensional model of the 4-dimensional Taub-NUT space that reproduces some of its pathological behaviours. In this paper we provide an explicit base of the topology of the complete Misner space $$\mathbb {R}^{1,1}/boost$$ . Besides we prove that some parts of this space, that behave like topological boundaries, are equivalent to the $$g$$ -boundaries of the Misner space.
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