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A nowhere dense but not porous set in the space of convex bodies. (English) Zbl 0876.54024

Summary: We give an example of a subset which is nowhere dense but not porous in the space of all convex bodies.

MSC:

54E35 Metric spaces, metrizability
52A21 Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry)
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)