Projective space as a branched covering with orientable branch set

Robert D. Little

Vol. 99 (1982), No. 1, 89–96

DOI: 10.2140/pjm.1982.99.89

Abstract

We show that if RPⁿ is a smooth k-fold branched covering of Sⁿ with orientable branch set and either k ≦ n or the singular set of the covering is connected, then n = 1,3, or 7.

Mathematical Subject Classification 2000

Primary: 57M12

Secondary: 57R22

Milestones

Received: 23 September 1980

Published: 1 March 1982