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Perfectly normal but not collectionwise normal space
Bing's example H is a space that's $T_6$ but not collectionwise normal.
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/48C1A50A9E249D05BD7054529F93BAA1/S0008414X00030923a.pdf/metrization-of-topological-spaces.pdf https://dantopology.wordpress.com/2014/02/02/bings-example-h/
Since there is no such example in pi-base, it'd be nice to include it.