1Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Suppose W is a 4-manifold with good fundamental group and M is a closed simply-connected 4-manifold. Suppose we are given two decompositions h1: W {reversed tilde equals} M#W1 and h2: W {reversed tilde equals} M#W2 inducing the same decomposition of π2W. In this paper we study when we can conclude that W1 and W2 are homeomorphic. As a consequence we conclude that the * operation for changing the Kirby-Siebenmann invariant of a 4-manifold is well defined. We will also use this discussion to relate the ambient approach to classification to the surgery approach. © 1994.

Author supplied keywords

Cite

CITATION STYLE

APA

Stong, R. (1994). Uniqueness of connected sum decompositions in dimension 4. Topology and Its Applications, 56(3), 277–291. https://doi.org/10.1016/0166-8641(94)90080-9

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free