I know that in the smooth category the following is true. There are at most countable many disjoint embedded moebius bands in euclidean 3-space. Is this also true in topological category?



Packing moebius bands
There are at most countably many disjoint embeddings of homeomorphic images of a non-orientable hypersurface in $\mathbb R^k$. This is theorem 2 in ["An uncountable family of disjoint spatial continua in Euclidean space"](https://doi.org/10.1007/BF00971401 "Sib Math J 34, 848–851 (1993). zbMATH review at https://zbmath.org/0877.54030") by V.K. Ionin and Yu.G. Nikonorov.


