On metric $\sigma$-discrete spaces
Volume 108 / 2016
Banach Center Publications 108 (2016), 239-253
MSC: Primary: 54G12; Secondary: 03E10, 06A06.
DOI: 10.4064/bc108-0-18
Abstract
By studying dimensional types of metric scattered spaces, we consider the wider class of metric $\sigma$-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.
