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Topic: [HM] Compactness and the Heine-Borel Theorem
Replies: 11   Last Post: Nov 9, 2004 11:37 PM

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James A Landau

Posts: 217
Registered: 12/3/04
[HM] Compactness and the Heine-Borel Theorem
Posted: Nov 3, 2004 6:40 PM
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My daughter is now taking calculus (the text is Spivak---is
anyone familiar with it?) and has just encountered compactness
and the Heine-Borel Theorem. She asked me whether the theorem
was proved and then the concepts of compactness were built up
since something useful could be said about it, or did
mathematicians first investigate compact sets and come up
with the Heine-Borel theorem?

- James A. Landau
from the Atlantic City area, where the maple trees out front are not
at the height of their autumn colors

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