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DIRECTIONAL LOWER POROSITY.
- Source :
-
Real Analysis Exchange . 2014, Vol. 39 Issue 1, p45-55. 11p. - Publication Year :
- 2014
-
Abstract
- We investigate differences between upper and lower porosity. In finite dimensional Banach spaces every upper porous set is directionally upper porous. We show the situation is very different for lower porous sets; there exists a lower porous set in R² which is not even a countable union of directionally lower porous sets. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01471937
- Volume :
- 39
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Real Analysis Exchange
- Publication Type :
- Academic Journal
- Accession number :
- 99098144
- Full Text :
- https://doi.org/10.14321/realanalexch.39.1.0045