Some new embeddings and nonimmersions of real projective spaces-Reference-Cited by-同舟云学术

Some new embeddings and nonimmersions of real projective spaces

Published:2000-06-14 Issue:12 Volume:128 Page:3731-3740
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Davis Donald,Zelov Vitaly

Abstract

We obtain new families of embeddings and nonimmersions of real projective spaces in Euclidean space. The method involves obstruction theory, and includes several new insights.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-12/S0002-9939-00-05444-7/S0002-9939-00-05444-7.pdf

Reference12 articles.

1. L. Astey and D. M. Davis, Nonimmersions of real projective spaces implied by 𝐵𝑃, Bol Soc Mat Mex 24 (1979) 49-55.

2. Some new immersions and nonimmersions of real projective spaces;Davis, Donald M.,1983

3. \bysame, Table of immersions and embeddings of real projective spaces, http://www.lehigh.edu/∼dmd1/immtable

4. Computing 𝑣₁-periodic homotopy groups of spheres and some compact Lie groups;Davis, Donald M.,1995

5. The geometric dimension of some vector bundles over projective spaces;Davis, Donald M.;Trans. Amer. Math. Soc.,1975

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