Connective coverings of BO and immersions of projective spaces

Donald M. Davis

Vol. 76 (1978), No. 1, 33–42

DOI: 10.2140/pjm.1978.76.33

Abstract

New immersions and nonimmersions of real projective space RPⁿ in Euclidean space are proved when the number of 1’s in the binary expansion of n is 7. The method is obstruction theory, utilizing the connective coverings of BO.

Mathematical Subject Classification

Primary: 57D40, 57D40

Milestones

Received: 3 September 1976

Published: 1 May 1978