Immersions of RP2e-1

Donald M. Davis; Giora Dula; Jesús González; Mark Mahowald

doi:10.2140/agt.2008.8.997

Immersions of RP^2e-1

Donald M. Davis
, Giora Dula
, Jesús González
, Mark Mahowald

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove that RP^2e-1 can be immersed in R^2e+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.

Original language	English
Pages (from-to)	997-1030
Number of pages	34
Journal	Algebraic and Geometric Topology
Volume	8
Issue number	2
DOIs	https://doi.org/10.2140/agt.2008.8.997
State	Published - 2008
Externally published	Yes

Keywords

Immersions
Real projective space

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10.2140/agt.2008.8.997

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title = "Immersions of RP2e-1",

abstract = "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.",

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AU - González, Jesús

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KW - Immersions

KW - Real projective space

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Immersions of RP^2e-1

Abstract

Keywords

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