By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-18,
author = {Szymon Plewik and Marta Walczy\'nska},
title = {On metric $\sigma$-discrete spaces},
journal = {Banach Center Publications},
volume = {108},
year = {2016},
pages = {239-253},
zbl = {06622298},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-18}
}
Szymon Plewik; Marta Walczyńska. On metric σ-discrete spaces. Banach Center Publications, Tome 108 (2016) pp. 239-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-18/