On the metric dimension of converging sequences
Ladislav, Jr. Mišík; Tibor Žáčik
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 2, page 367-373
- ISSN: 0010-2628
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topMišík, Ladislav, Jr., and Žáčik, Tibor. "On the metric dimension of converging sequences." Commentationes Mathematicae Universitatis Carolinae 34.2 (1993): 367-373. <http://eudml.org/doc/247460>.
@article{Mišík1993,
abstract = {In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown — for any sequence converging to zero there is a greater sequence with an arbitrary ($\leqslant 1$) upper dimension. On the other hand there is a relationship to summability of series — the set of elements of any positive summable series must have metric dimension less than or equal to $1/2$.},
author = {Mišík, Ladislav, Jr., Žáčik, Tibor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {metric dimension; converging sequences; summability of series; metric dimension; converging sequences; summability of series},
language = {eng},
number = {2},
pages = {367-373},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the metric dimension of converging sequences},
url = {http://eudml.org/doc/247460},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Mišík, Ladislav, Jr.
AU - Žáčik, Tibor
TI - On the metric dimension of converging sequences
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 2
SP - 367
EP - 373
AB - In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown — for any sequence converging to zero there is a greater sequence with an arbitrary ($\leqslant 1$) upper dimension. On the other hand there is a relationship to summability of series — the set of elements of any positive summable series must have metric dimension less than or equal to $1/2$.
LA - eng
KW - metric dimension; converging sequences; summability of series; metric dimension; converging sequences; summability of series
UR - http://eudml.org/doc/247460
ER -
References
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- Žáčik T., On some approximation properties of the metric dimension, Math. Slovaca 42 (1992), 331-338. (1992) MR1182963
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