Cobordisms of Embeddings with Codimension 2. II

Abstract

COBORDISMS OF EMBEDDINGS WITH CODIMENSION 2. II M. Yu. Zvagel'skii UDC 515.164A proof of the fact that the group Emb5(R 7 ) of cobordisms of embeddings of nonoriented 5-manifolds in R 7 is cyclic of order 6 is announced. A geometric description of a generator of this group is presented. Bibliography: 4 titles.To V. A. Zalgaller on the occasion of his 80th birthday §1. The main resultTwo closed submanifolds U k and V k in R n belong to the same embedded cobordism class if there exists a compact proper submanifoldThe set of embedded cobordism classes is denoted by Emb k (R n ). This is a group with respect to disjoint union.Our main result is as follows: