R. H. Bing

R. H. Bing (October 20, 1914 in Oakwood, Texas – April 28, 1986 in Austin, Texas) was an American mathematician who worked mainly in the areas of geometric topology and continuum theory. His father was named Rupert Henry, but Bing's mother thought that "Rupert Henry" was too British for Texas. She compromised by abbreviating it to R. H. (Singh 1986) Consequently, R. H. does not stand for a first or middle name.

Bing's mathematical research was almost exclusively in 3-manifold theory and in particular, the geometric topology of ${\displaystyle \mathbb {R} ^{3}}$. The term Bing-type topology was coined to describe the style of methods used by Bing.

Bing established his reputation early on in 1946, soon after completing his Ph.D. dissertation, by solving the Kline sphere characterization problem. In 1948 he proved that the pseudo-arc is homogeneous, contradicting a published but erroneous 'proof' to the contrary.

In 1951 he proved results regarding the metrizability of topological spaces, including what would later be called the Bing-Nagata-Smirnov metrization theorem.

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