Two ideals connected with strong right upper porosity at a point

V. Bilet; O. Dovgoshey; J. Prestin

Two ideals connected with strong right upper porosity at a point

Classical Analysis and ODEs 2014-05-13 v1

Authors: V. Bilet , O. Dovgoshey , J. Prestin

Abstract

Let $SP$ be the set of upper strongly porous at $0$ subsets of $\mathbb R^{+}$ and let $\hat I(SP)$ be the intersection of maximal ideals $I \subseteq SP$ . Some characteristic properties of sets $E\in\hat I(SP)$ are obtained. It is shown that the ideal generated by the so-called completely strongly porous at $0$ subsets of $\mathbb R^{+}$ is a proper subideal of $\hat I(SP).$

Keywords

monomial ideals ideal theory

Cite

@article{arxiv.1405.2719,
  title  = {Two ideals connected with strong right upper porosity at a point},
  author = {V. Bilet and O. Dovgoshey and J. Prestin},
  journal= {arXiv preprint arXiv:1405.2719},
  year   = {2014}
}

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18 pages

Two ideals connected with strong right upper porosity at a point

Abstract

Keywords

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