Side-approximation theorem

In geometric topology, the side-approximation theorem was proved by Bing (1963). It implies that a 2-sphere in R³ can be approximated by polyhedral 2-spheres.

References

• Bing, R. H. (1957), "Approximating surfaces with polyhedral ones", Annals of Mathematics. Second Series 65: 465–483, ISSN 0003-486X, JSTOR 1970057, MR0087090 
• Bing, R. H. (1963), "Approximating surfaces from the side", Annals of Mathematics. Second Series 77: 145–192, ISSN 0003-486X, JSTOR 1970203, MR0150744