4-dimensional topological bordism
This paper assembles together the work of \textit{M. Freedman} on the classification of simply-connected topological 4-manifolds [J. Differ. Geom. 17, 357-454 (1982; Zbl 0528.57011)] and F. Quinn's solution to the 4-dimensional annulus conjecture [\textit{R. Edwards}, Contemp. Math. 35, 211-264 (1984; Zbl 0575.57005)] to show that \(\Omega_ 4^{Top}={\mathbb{Z}}\oplus {\mathbb{Z}}_ 2\) where the first factor arises from the signature of a 4-manifold and the second factor is the Kirby- Siebenmann obstruction to stably smoothing a 4-manifold.
simply-connected topological 4-manifolds
Kirby-Siebenmann obstruction to stably smoothing a 4- manifold
scientific article; zbMATH DE number 4046708