O ilości nierównoważnych metryk
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 9 (2017) no. 1, pp. 139-152
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It is well known that there exist many metrics on a non-emptyset. In the case of (X, ϱ) − a finite metric set, it can be easily shown that all the metrics on X are equivalent. This paper examines the number of non-equivalent metrics on uncountably infinite sets.
Keywords:
nonequivalent metrics, metrizability, metric spaces
@article{AUPCDM_2017_9_1_a6,
author = {Zieli\'nski, Marcin},
title = {O ilo\'sci nier\'ownowa\.znych metryk},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
pages = {139--152},
publisher = {mathdoc},
volume = {9},
number = {1},
year = {2017},
language = {pl},
url = {http://geodesic.mathdoc.fr/item/AUPCDM_2017_9_1_a6/}
}
TY - JOUR AU - Zieliński, Marcin TI - O ilości nierównoważnych metryk JO - Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia PY - 2017 SP - 139 EP - 152 VL - 9 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AUPCDM_2017_9_1_a6/ LA - pl ID - AUPCDM_2017_9_1_a6 ER -
Zieliński, Marcin. O ilości nierównoważnych metryk. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 9 (2017) no. 1, pp. 139-152. http://geodesic.mathdoc.fr/item/AUPCDM_2017_9_1_a6/