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arXiv · 1501.03640

Local one-side porosity and pretangent spaces

M. Altinok·O. Dovgoshey·M. Kucukaslan
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Abstract

For subsets of $\mathbb{R}^+$ we consider the local right upper porosity and the local right lower porosity as elements of a cluster set of all porosity numbers. The use of a scaling function $μ:\mathbb{N} \to \mathbb{R}^+$ provides an extension of the concept of porosity numbers on subsets of $\mathbb{N}$. The main results describe interconnections between porosity numbers of a set, features of the scaling functions and the geometry of so-called pretangent spaces to this set.

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M. Altinok, O. Dovgoshey, M. Kucukaslan. 2015-01-15. Local one-side porosity and pretangent spaces. https://arxiv.org/abs/1501.03640

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