论文标题
在密度拓扑上使用理想的真实空间
On density topology using ideals in the space of reals
论文作者
论文摘要
在本文中,我们介绍了$ \ MATHCAL {I} $ - 密度拓扑的概念,在真实的空间中介绍了上$ \ Mathcal {i} $ - 密度和下$ \ Mathcal {i} $ - 密度 - $ \ MATHCAL {i} $的概念。我们进一步研究了该拓扑的某些分离公理。
In this paper we have introduced the notion of $\mathcal{I}$-density topology in the space of reals introducing the notions of upper $\mathcal{I}$-density and lower $\mathcal{I}$-density where $\mathcal{I}$ is an ideal of subsets of the set of natural numbers. We have further studied certain separation axioms of this topology.