Geodesic
Solenoidal Manifolds
Journal of Singularities, Tome 9 (2014), pp. 203-205

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It is shown that every oriented solenoidal manifold of dimension one is the boundary of a compact oriented solenoidal 2-manifold. For compact solenoidal surfaces one can develop a theory of complex structures parallel to the theory for Riemann surfaces. In particular, there exists a corresponding Teichmüller space. The Teichmüller space of the solenoidal surface obtained by taking the inverse limit of all finite pointed covers of a compact surface of genus greater than one is a separable Banach manifold version of the universal Teichmüller space of the upper half plane which is not separable. The commensurability automorphism group of the fundamental group of the surface acts minimally on this solenoidal version of the universal Teichmüller space. 
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     author = {Dennis Sullivan},
     title = {Solenoidal {Manifolds}},
     journal = {Journal of Singularities},
     pages = {203--205},
     publisher = {mathdoc},
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     year = {2014},
     doi = {10.5427/jsing.2014.9o},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.9o/}
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Dennis Sullivan. Solenoidal Manifolds. Journal of Singularities, Tome 9 (2014), pp. 203-205. doi: 10.5427/jsing.2014.9o

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