[FOM] Historical Question: Heine-Borel Theorem

Alexander M Lemberg sandylemberg at juno.com
Thu Oct 30 22:34:04 EST 2003


I recently looked at this history in vol 3 of Kline, where it is
described on pp 953-4. According to this account, Borel's contribution
was published in 1895, and Lebesgue (1898 or 1904) and Cousin (1895) put
the result into its modern form.

Sandy

On Thu, 30 Oct 2003 11:36:22 -0500 Steve Stevenson <steve at cs.clemson.edu>
writes:
> Good Afternoon:
> 
> Apparently, Heine proved the original theorem in 1871 or 1872. When 
> and 
> how did Borel's name get attached. We're assuming it was in the 
> 1910s.
> 
> Any help greatly appreciated.
> best regards,
> 
> steve
> --------
> D. E. Stevenson, Department of Computer Science
> Clemson University, Clemson, SC 29634-0974
> 864.656.6880 http://www.cs.clemson.edu/~steve
> 
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