The Morita conjectures on normal topological spaces are also named after him.
2.
"' Robert Henry Sorgenfrey "'( 1915 January 6, 1995 ) was an normal topological space whose product with itself is not normal.
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Let X be a normal topological space and let g, h \ colon X \ to \ mathbb { R } be functions with g upper semicontinuous, h lower semicontinuous and g \ leq h.
4.
It may seem unnaturally restrictive to require that a regular function always extend to the ambient space, but it is very similar to the situation in a normal topological space, where the Tietze extension theorem guarantees that a continuous function on a closed subset always extends to the ambient topological space.
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