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Packing moebious moebius bands

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

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Packing moebious bands

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