Some new embeddings and nonimmersions of real projective spaces

1998/03/19 by Donald M. Davis, Davis, Donald M., Vitaly Zelov +1
Mathematics · #55S35 #57R40 #57R42 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55S35 #msc:57R40 #msc:57R42

paper · pdf · doi:10.48550/arxiv.math/9803087

12 pages. Submitted to Boardman Conference Proceedings. See also http://www.lehigh.edu/~dmd1/pubs.html

arxiv created 1998/03/19 · openalex publication_date 1998/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use obstruction theory to prove that if alpha(n)=2, then RP¹⁶ⁿ⁺⁸ cannot be immersed in R³²ⁿ⁺³ and RP¹⁶ⁿ⁺¹⁰ cannot be immersed in R³²ⁿ⁺¹¹, and that if alpha(n)>2, then RP⁸ⁿ⁺⁴ can be embedded in R¹⁶ⁿ⁺¹. These are new results.

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