2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63140In this paper, we exploit a subtle indeterminacy in the definition of the spherical Kervaire-Milnor invariant which was discovered by R. Stong to construct non-spin 4-manifolds with even intersection form and prescribed signature.Geometric Topology57M99;57R40Immersed projective planes, Arf invariants and even 4-manifoldstext