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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Arc connectedness of product spaces
Is arc connected-ness well-behaved with respect to products?
That is -
$\prod X_\alpha$ is arc connected iff $X_\alpha$ is arc connected $\forall \alpha$
In this question on MathStackexchange, an a …