Nonmanifold monodromy spaces of branched coverings between manifolds

نویسندگان

چکیده

By a construction of Berstein and Edmonds every proper branched cover f between manifolds is factor covering orbit map from locally connected compact Hausdorff space called the monodromy to target manifold. For covers 2-manifolds known be We show that this does not generalize dimension 3 by constructing self-map 3-sphere for which contractible space.

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2022

ISSN: ['1945-5844', '0030-8730']

DOI: https://doi.org/10.2140/pjm.2022.319.1