Jump to content

Side-approximation theorem

From Wikipedia, the free encyclopedia
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

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