Almost separable spaces
General Topology
2020-02-13 v1
Abstract
We have defined almost separable space. We show that like separability, almost separability is productive and converse also true under some restrictions. We establish a Baire Category theorem like result in Hausdorff, Pseudocompacts spaces. We investigate few relationships among separability, almost separability, sequential separability, strongly sequential separability.
Cite
@article{arxiv.2002.05078,
title = {Almost separable spaces},
author = {Sagarmoy Bag and Ram Chandra Manna and Sourav Kanti Patra},
journal= {arXiv preprint arXiv:2002.05078},
year = {2020}
}