Hereditarily Homogeneous Generalized Topological Spaces

author

Abstract:

In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Connected and Hyperconnected Generalized Topological Spaces

A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specic properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component in generalized topological spaces.

full text

On completely homogeneous L-topological spaces

In this paper we investigate completely homogeneous Ltopological spaces. The smallest completely homogeneous Ltopology on a set X containing an Lset f is called the principal completely homogeneous Ltopology generated by f . Here we also study the principal completely homogeneous Ltopological spaces generated by an Lset and characterize completely homogeneous Alexandroff discrete Ltopological s...

full text

Topological 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...

full text

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...

full text

Soft regular generalized b-closed sets in soft topological spaces

The main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (briefly soft rgb-closed set) Moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g$alpha$-closed, soft g$alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and w...

full text

On Regular Generalized $delta$-closed Sets in Topological Spaces

In this paper a new class of sets called  regular generalized  $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 14  issue 2

pages  9- 18

publication date 2019-10

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023