How many sets are porous?
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- by Tudor Zamfirescu PDF
- Proc. Amer. Math. Soc. 100 (1987), 383-387 Request permission
Abstract:
The notion of a $\sigma$-porous set is often used to sharpen results on sets of first Baire category or of measure zero. It essentially uses the related notion of porosity. We find out in this note that there are quite a few porous sets: In complete convex metric spaces, most totally bounded closed sets are porous! Then we strengthen this result for the case of a Banach space.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 383-387
- MSC: Primary 54E50; Secondary 46B20, 54E52
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884484-4
- MathSciNet review: 884484