Abstract
We show the following result: let X be a 1-convex manifold, A its exceptional set, k = dimA and p : Y → X any covering. Then Y can be exhausted by an increasing sequence \(\{Y_{\nu}\}_{\nu \in \mathbb{N}}\) of smoothly bounded k-convex domains.
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Colţoiu, M. Convexity properties of coverings of 1-convex manifolds. Math. Z. 256, 461–464 (2007). https://doi.org/10.1007/s00209-006-0069-0
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DOI: https://doi.org/10.1007/s00209-006-0069-0