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Affine lamination spaces for surfaces

Affine lamination spaces for surfaces

In this paper we extend Thurston's space 3°&(M) of projective classes of measured laminations in the compact surface M to a space srf3?{M) of laminations with transverse structures. The main theorem is that stfSf(M) is homeomorphic to the product tR). To avoid confusion, it should be pointed out at the …