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Immersions of
$RP^{2^e-1}$
Donald M Davis, Giora Dula, Jesús González and Mark Mahowald |
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Algebraic & Geometric Topology 8 (2008) 997–1030
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Abstract |
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We prove that can be immersed in provided . If , this is 1 better than previously known immersions. Our method is primarily an induction on geometric dimension, with compatibility of liftings being a central issue. |
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Keywords
immersions, real projective space
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Mathematical Subject Classification 2000
Primary: 57N35
Secondary: 55S40
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References |
Publication
Received: 11 January 2007
Revised: 23 May 2008
Accepted: 23 May 2008
Published: 5 July 2008
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Authors |
| Donald M Davis | |
| Lehigh University Bethlehem, PA 18015 USA |
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| http://www.lehigh.edu/~dmd1 | |
| Giora Dula | |
| Netanya College Netanya 42365 Israel |
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| Jesús González | |
| Departamento de Matemáticas Centro de Investigación y de Estudios Avanzados del IPN México DF 07000 México |
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| Mark Mahowald | |
| Northwestern University Evanston, IL 60208 USA |
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