Extending and paralleling Stechkin's category theorem
KeywordsComplete metric space, nearest point, farthest point, Baire category
AbstractWe strengthen one of Stechkin's theorems. We also obtain results in the same spirit regarding the farthest point mapping. We work in length spaces, sometimes without bifurcating geodesics, sometimes with geodesic extendability.
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Copyright (c) 2021 Topological Methods in Nonlinear Analysis
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