On the lattice equivalence of topological spaces
نویسندگان
چکیده
منابع مشابه
On the topological equivalence of some generalized metric spaces
The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using some topological approaches. We introduce a new notion of a $TVS$-cone $S$-metric space using some facts about topological vector spaces. We see that the known results on cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained from...
متن کاملTopological Equivalence of Foliations of Homogeneous Spaces
For i = 1,2, let r j be a lattice in a connected Lie group G j , and let X j be a connected Lie subgroup of Gj . The double cosets rjg X j provide a foliation .9'; of the homogeneous space rj\Gj . Assume that XI and X2 are unimodular and that .91 has a dense leaf. If G I and G2 are semisimple groups to which the Mostow Rigidity Theorem applies, or are simply connected nilpotent groups (or are c...
متن کاملOn Lattice - Topological Properties of General Wallman Spaces Carmen Vlad
Let X be an arbitrary set and a lattice of subsets ofX such that t/t, X E ..A() is the algebra generated by and I() consists of all zero-one valued finitely additive measures on Various subsets of I() are considered and certain lattices are investigated as well as the topology of closed sets generated by them. The lattices are investigated for normality, regularity, repleteness and completeness...
متن کاملOn $beta-$topological vector spaces
We introduce and study a new class of spaces, namely $beta-$topological vector spaces via $beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $beta-$topological vector spaces are provided.
متن کاملParacompactness on supra topological spaces
In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to show some results concerning paracompactness on topology are invalid on supra topology. Finally...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1966
ISSN: 0004-9735
DOI: 10.1017/s1446788700004973