I know that in the smooth category the following is true. There are at most countable many embedded moebius bands in euclidean 3space. Is this also true in topological category?
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There are at most countably many disjoint embeddings of homeomorphic images of a nonorientable hypersurface in $\mathbb R^k$. This is theorem 2 in "An uncountable family of disjoint spatial continua in Euclidean space" by V.K. Ionin and Yu.G. Nikonorov. 

