# Side-approximation theorem

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{{Infobox theorem
| name         = 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 {{harvtxt|Bing|1963}}. It implies that a 2-sphere in '''R'''<sup>3</sup> can be approximated by polyhedral 2-spheres.

==References==
*{{Citation | last1=Bing | first1=R. H. | author-link=R. H. Bing | title=Approximating surfaces with polyhedral ones | jstor=1970057 | mr=0087090  | year=1957 | journal=[Annals of Mathematics](/source/Annals_of_Mathematics) |series=Second Series | issn=0003-486X | volume=65 | pages=465–483 | doi=10.2307/1970057}}
*{{Citation | last1=Bing | first1=R. H. | title=Approximating surfaces from the side | jstor=1970203 | mr=0150744  | year=1963 | journal=[Annals of Mathematics](/source/Annals_of_Mathematics) |series=Second Series | issn=0003-486X | volume=77 | pages=145–192 | doi=10.2307/1970203}}
{{topology-stub}}

Category:Geometric topology
Category:Theorems in topology

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Adapted from the Wikipedia article [Side-approximation theorem](https://en.wikipedia.org/wiki/Side-approximation_theorem) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Side-approximation_theorem?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.