Montesinos Amilibia, José María2023-06-212023-06-211978-110002-994710.2307/1998880https://hdl.handle.net/20.500.14352/64711It is shown that a PL, orientable 4-manifold with no 3- or 4-handles is a 3-fold irregular cover of the 4-ball, branched over a ribbon 2-manifold. The author also studies 2-fold branched cyclic covers and finds examples of surfaces in S4 whose 2-fold branched covers are again S4; this gives new examples of exotic involutions on S4 [cf. C. McA. Gordon, Proc. London Math. Soc. (3) 29 (1974), 98–110]. The conjecture that any closed, orientable 4-manifold is an irregular 4-fold branched cover of S4 is reduced to studying bordism classes of irregular 4-fold covers of S3 with covering space equal to a connected sum of copies of S1×S2.engjournal articlehttp://www.ams.org/journals/tran/1978-245-00/S0002-9947-1978-0511423-7/S0002-9947-1978-0511423-7.pdfhttp://www.ams.org/restricted access515.163Covering spacesTopological manifolds.Topología1210 Topología