On Higher Order Nonsingular Immersions of Dold Manifolds

Abstract

Abstract.In this paper we employ y-operations and characteristic classes to study nonexistence of higher order nonsingular immersions of a Dold manifold into a Euclidean space.

Nonexistence Theorems of Higher Order Immersions of Dold Manifolds

“…Since W. F. Pohl [7] and E. A. Feldman [1], [2] have investigated differential geometry of higher order, several authors have been studying higher order nonsingular immersions of manifolds (cf. [3], [5], [6], [8]- [10] etc.). W.-L. Ting [10] employs y-operations and characteristic classes to prove a nonexistence theorem of higher order nonsingular immersions of Dold manifolds.…”

“…[3], [5], [6], [8]- [10] etc.). W.-L. Ting [10] employs y-operations and characteristic classes to prove a nonexistence theorem of higher order nonsingular immersions of Dold manifolds. The purpose of this paper is to prove other nonexistence theorems of higher order nonsingular immersions of Dold manifolds in Euclidean spaces using homological properties of stunted projective spaces.…”