{{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 |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 |series=Second Series | issn=0003-486X | volume=77 | pages=145–192 | doi=10.2307/1970203}} {{topology-stub}}
Category:Geometric topology Category:Theorems in topology