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There are uncountably many universal topological planes
Authors:Jacob E. Goodman  Richard Pollack  Rephael Wenger
Affiliation:(1) Department of Mathematics, City College, CUNY, 10031 New York, NY, U.S.A.;(2) Courant Institute, NYU, 251 Mercer Street, 10012 New York, NY, U.S.A.;(3) Department of Mathematics, Ohio State University, 43210 Columbus, OH, U.S.A.
Abstract:We prove the existence of uncountably many nonisomorphic topological projective planes, each lsquouniversalrsquo in the sense that it contains an isomorphic copy of every pseudoline arrangement.
Keywords:Primary: 51H10, 51A45  Secondary: 05B99, 51D20, 52A10, 52C99, 57N05
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