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Article

Klein foams

Indiana University Mathematics Journal. 2011. Vol. 60. No. 3. P. 985-995.
Costa A., Gusein-Zade S., Natanzon S. M.

Klein foams are analogues of Riemann and Klein surfaces with one-dimensional singularities. We prove that the field of dianalytic functions on a Klein foam Ω coincides with the field of dianalytic functions on a Klein surface K Ω We construct the moduli space of Klein foams, and we prove that the set of classes of topologically equivalent Klein foams form an analytic space homeomorphic to ℝ n/Mod, where Mod is a discrete group.