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Montgolfière (talk | contribs) Using <math> in a section header appears to lead to incorrect rendering in the table of contents |
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The theorem holds only for functions that are ''endomorphisms'' (functions that have the same set as the ___domain and range) and for sets that are ''compact'' (thus, in particular, bounded and closed) and ''convex'' (or [[Homeomorphism|homeomorphic]] to convex). The following examples show why the pre-conditions are important.
===The
Consider the function
:<math>f(x) = x+1</math>
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