On metric σ-discrete spaces

Szymon Plewik; Marta Walczyńska

Banach Center Publications (2016)

  • Volume: 108, Issue: 1, page 239-253
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Szymon Plewik, and Marta Walczyńska. "On metric σ-discrete spaces." Banach Center Publications 108.1 (2016): 239-253. <http://eudml.org/doc/286486>.

@article{SzymonPlewik2016,
abstract = {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.},
author = {Szymon Plewik, Marta Walczyńska},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {239-253},
title = {On metric σ-discrete spaces},
url = {http://eudml.org/doc/286486},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Szymon Plewik
AU - Marta Walczyńska
TI - On metric σ-discrete spaces
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 239
EP - 253
AB - 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.
LA - eng
UR - http://eudml.org/doc/286486
ER -

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