The Topological Surgery Sequence for Connected Sums of Small 4-manifolds
نویسنده
چکیده
We establish the topological s-cobordism surgery sequence for any closed oriented 4-manifold X homotopy equivalent to a connected sum X1# · · ·#Xn such that each topological 4-manifold Xi has fundamental group Γi of class SA. As a corollary, given Γi in a subclass ECS, if Γi is torsionfree and π2(Xi)⊗ Z2 = 0 (e.g. Xi aspherical), then X is topologically s-rigid. An application is an s-fibering theorem for topological 5-manifolds over the circle.
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