The Smale invariants of an immersed projective space-Reference-Cited by-同舟云学术

The Smale invariants of an immersed projective space

Published:1979-11 Issue:3 Volume:86 Page:401-411
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Berrick A. J.

Abstract

This note approaches the immersion/embedding problem for real projective n-space Pn in Rn+k by viewing the Smale invariant of the induced immersion Sn → Pn → Rn + k as an obstruction to extending to an immersion of Pn + 1 in Rn + k. First steps in this direction were taken in (8), by studying the elementary problem of extending axial maps.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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