TITLE: Obtain 4-manifolds by repeating surgeries of submanifolds in $S^4$
QUESTION [9 upvotes]: In his paper QFT and Jones Polynomials, Witten states: "It is a not too deep result that every 3-manifold can be obtained from or reduced to $S^3$ (or any other desired 3-manifold) by repeated surgeries on knots." (page 383).
Is there an analogous statement/theorem for 4-manifolds? Such as obtaining other 4-manifolds by repeating surgeries of submanifolds in $S^4$? What new 4-manifolds can be obtained in such constructions?

What are the obstruction to obtain any 4-manifolds from repeated surgeries of submanifolds in $S^4$? 

References are very welcome.

REPLY [7 votes]: It is a theorem of Iwase that every 4-manifold can be obtained from a connected sum of a number of $\pm CP^2$ and $S^1\times B^3$ by surgery along tori:
Iwase, Dehn surgery along a torus T2-knot II, Japan Jour. of Math vol.16,
no.2 (1990), 171-196