Side-approximation theorem

Side-approximation theorem
Field	Geometric topology
Statement	Every 2-sphere in ℝ³ can be approximated by polyhedral 2-spheres.

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, doi:10.2307/1970057, ISSN 0003-486X, JSTOR 1970057, MR 0087090
• Bing, R. H. (1963), "Approximating surfaces from the side", Annals of Mathematics, Second Series, 77: 145–192, doi:10.2307/1970203, ISSN 0003-486X, JSTOR 1970203, MR 0150744