On ambiental bordism

Carlos Biasi

Vol. 163 (1994), No. 1, 73–80

DOI: 10.2140/pjm.1994.163.73

Abstract

Let M^m be a closed and oriented submanifold of a closed or oriented manifold Nⁿ, such that [M,i] = 0 ∈ Ω_m(N), where i : M → N is the inclusion and Ω_m(N) is the m-th oriented bordism group of N. If n = m + 2 or m ≤ 3 or m ≤ 4 and n≠7 then M bounds in N.

Mathematical Subject Classification 2000

Primary: 57R90

Milestones

Received: 13 November 1991

Revised: 19 November 1992

Published: 1 March 1994