Space Suggestion: an uncountable $\Sigma$-product of $\omega$

[StevenClontz]

As mentioned in #994 the example of an uncountable $\Sigma$-product of $\omega$ is an example of a strongly collectionwise normal space that's not fully normal. This should be in Corson's Normality in subsets of product spaces (not this specific example, but $\Sigma$-products and their properties, in particular a result which says that an uncountable $\Sigma$-product of complete, separable, non-compact metric spaces is strongly collectionwise normal but not paracompact). This gives an example showing that the two properties really are distinct.

Originally posted by @Moniker1998 in https://github.com/pi-base/data/issues/996#issuecomment-2515066787