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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

2 votes
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130 views

Are negatively curved $2$-complexes homeomorphic to quotients of the form $\mathbb{H}^{2}/G$...

Let $\mathbb{H}^{2}$ be hyperbolic $2$-space and $G$ a discrete subgroup of $PSL_{2}(\mathbb{R})$. Then the quotient $\mathbb{H}^{2} / G$ is a surface. Can this be extended to $2$-complexes? In other …