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arXiv · 2002.05078

Almost separable spaces

Sagarmoy Bag·Ram Chandra Manna·Sourav Kanti Patra
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Abstract

We have defined almost separable space. We show that like separability, almost separability is $c$ 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.

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Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra. 2020-02-12. Almost separable spaces. https://arxiv.org/abs/2002.05078

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