Abstract
We present a criterion that indicates the case where a smooth compact 4-manifold with irreducible boundary is homotopically equivalent to the total space of a fibering into two-dimensional closed aspherical surfaces over a two-dimensional aspherical surface with boundary.
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Mozgova, A.A. On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary. Ukrainian Mathematical Journal 54, 292–305 (2002). https://doi.org/10.1023/A:1020194731058
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DOI: https://doi.org/10.1023/A:1020194731058