# Special generic maps on open 4-manifolds

@article{Saeki2010SpecialGM,
title={Special generic maps on open 4-manifolds},
author={Osamu Saeki},
journal={Journal of Singing},
year={2010},
pages={1-12}
}
• O. Saeki
• Published 2010
• Mathematics
• Journal of Singing
We characterize those smooth 1-connected open 4-manifolds with certain finite type properties which admit proper special generic maps into 3-manifolds. As a corollary, we show that a smooth 4-manifold homeomorphic to R4 admits a proper special generic map into Rn for some n = 1, 2 or 3 if and only if it is diffeomorphic to R4. We also characterize those smooth 4-manifolds homeomorphic to L ×R for some closed orientable 3-manifold L which admit proper special generic maps into R3.
1 Citations
SPECIAL GENERIC MAPS ON OPEN 4-MANIFOLDS (Singularity theory of smooth maps and related geometry)
We characterize those smooth l-connected open 4-manifolds with certain finite type properties which admit proper special generic maps into 3-manifolds. As a corollary, we show that a smooth

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