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The Smale invariants of an immersed projective space

Published online by Cambridge University Press:  24 October 2008

A. J. Berrick
A. J. Berrick
Affiliation:
Imperial College, London
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 401 - 411
Copyright
Copyright © Cambridge Philosophical Society 1979

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