Bordism between Dold and Milnor Manifolds

Abstract

It is well known that Dold and Milnor manifolds give generators for the unoriented bordism algebra ${\mathfrak{N}}_{\ast }$ over ${\mathbb{Z}}_2$. The purpose of this paper is to determine those Milnor manifolds which represent the same bordism classes in ${\mathfrak{N}}_{\ast }$ as their Dold counterparts.

12 pages