Content deleted Content added
m Archiving 1 discussion(s) to Talk:Brouwer fixed-point theorem/Archive 1) (bot |
|||
Line 22:
<small><span class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:198.144.199.xxx|198.144.199.xxx]] ([[User talk:198.144.199.xxx|talk]] • [[Special:Contributions/198.144.199.xxx|contribs]]) 30 August 2001</span></small><!-- Template:Unsigned -->
== First proved by
According to Lyusternik ''Convex Figures and Polyhedra'', the theorem was first proved by a Lettish mathematician named
- In the book ''History of Topology'' by James, on pages 273-274, it says: "Bohl's theorem is also equivalent to the Brouwer theorem. Bohl's theorem was published in 1904, with a proof that required that f be differentiable. Brouwer published his fixed point theorem, for continuous functions on the 3-ball, in 1909. When the first proof for the n-ball, with f differentiable, appeared in print a year later, in an appendix by J. Hadamard to a text by Tannery, the theorem was called the 'Brouwer Fixed Point Theorem', which suggests that the result was already famous by that time. It is not known in what year Brouwer made his discovery and, apparently, communicated it to other mathematicians in an informal manner. '''The first published proof''' of the general case, that is, for continuous functions on the n-ball, was by Brouwer himself in 1912."
== Citation style ==
| |||