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Keywords:
compact convex set; fixed point property; multivalued map; local convexity; topological vector space; Schauder Conjecture.
compact convex set; fixed point property; multivalued map; local convexity; topological vector space; Schauder Conjecture.
Summary:
Schauder's Conjecture (i.e\. every compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
References:
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