| 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
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