Geodesic
Immersions of RP2e−1
Davis, Donald M1 ; Dula, Giora2 ; González, Jesús3 ; Mahowald, Mark4
1Lehigh University, Bethlehem, PA 18015, USA
2Netanya College, Netanya 42365, Israel
3Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, México DF 07000, México
4Northwestern University, Evanston, IL 60208, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 997-1030
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We prove that RP2e−1 can be immersed in ℝ2e+1−e−7 provided e ≥ 7. If e ≥ 14, 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.

DOI : 10.2140/agt.2008.8.997
Keywords: immersions, real projective space

Davis, Donald M  1   ; Dula, Giora  2   ; González, Jesús  3   ; Mahowald, Mark  4

1 Lehigh University, Bethlehem, PA 18015, USA
2 Netanya College, Netanya 42365, Israel
3 Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, México DF 07000, México
4 Northwestern University, Evanston, IL 60208, USA 
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Davis, Donald M; Dula, Giora; González, Jesús; Mahowald, Mark. Immersions of RP2e−1. Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 997-1030. doi: 10.2140/agt.2008.8.997

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