Errata: “Poincaré cobordism exact sequences and characterisation”

Abstract

In view of the remarks of the reviewer (cf. MR 91j: 57021) we give the following clarifications for the benefit of the reader: 1. Theorem (B) page 86 remains true. 2. Theorem (D) page 87 now states the following: An element [X] e Ωj* D is zero if and only if (i) n φ 0 (mod 4) and all integral as well as Z//?-normal spherical characteristic numbers of X, V prime p, are zero. (ii) n = 0 (mod 4) and all integral and Z/p-normal spherical characteristic numbers of X, V prime p, and index of X are zero. 3. The arguments on lines 17 to 19 of page 97 should be given as follows: and integral as well as Z//?-normal spherical characteristic numbers V odd prime p, and index of X are zero (x being a 2-torsion element) hence (Z , g x A, c x λ) determines (X, /, b) up to oriented cobordism by 2 above.