There are uncountably many universal topological planes |
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Authors: | Jacob E. Goodman Richard Pollack Rephael Wenger |
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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. |
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Abstract: | We prove the existence of uncountably many nonisomorphic topological projective planes, each universal in the sense that it contains an isomorphic copy of every pseudoline arrangement. |
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Keywords: | Primary: 51H10, 51A45 Secondary: 05B99, 51D20, 52A10, 52C99, 57N05 |
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