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Local and global \(\sigma\)-cone porosity. (English) Zbl 0816.46014

Summary: We compare two subclasses of first category sets in Hilbert spaces, one of \(\sigma-\alpha\)-cone porous and the other of \(\sigma- \alpha\)-angle porous sets. Our Theorem gives a positive result whence an example shows that these two notions do not coincide.

MSC:

46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
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