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{{WikiProject Economics|importance=high}}
{{WikiProject Statistics|importance=low}}
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==Perfect substitutes==
The example using U = max(x,y} is not perfect substitutes. "Perfect substitutes have a linear utility function", according to the [https://en.wikipedia.org/wiki/Substitute_good linked page].
[[User:Ulaniantho|Ulaniantho]] ([[User talk:Ulaniantho|talk]]) 05:22, 13 June 2022 (UTC)
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The attribution of the results to theorems is somewhat questionable.
[[User:Charles Matthews|Charles Matthews]] 11:51, 26 Sep 2004 (UTC)
==The Weierstrass theorem==
The Weierstrass theorem is: "Let X and Y be topological spaces. If f : X -> Y is continuous and X is compact, then Y is compact."
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--[[User:Clausen|Clausen]] 05:52, 26 Sep 2004 (UTC)
The Weierstrass theorem is refering to the (Weierstrass) [[Extreme value theorem]] which states that a continuous function from a compact (non-empty) space to the real numbers attains a maximum and a minimum (see [http://cepa.newschool.edu/het/essays/math/contin.htm#weierstrass]). The [[Heine-Borel theorem]] is used in the proof of that theorem. [[User:Smmurphy|Smmurphy]]<sup>([[User talk:Smmurphy|Talk]])</sup> 14:03, 23 August 2006 (UTC)
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