A metric formula on a quotient space which is related to the sequence space Σ 2
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Date
2021-06-30
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
In this paper, we first define an equivalence relation on the sequence space
Σ
2
. Then we equip the quotient set
Σ
2
/
∼
with a metric
d
1
. We also determine an isometry map between the metric spaces
(
Σ
2
/
∼
,
d
1
)
and
(
[
0
,
1
]
,
d
e
u
c
l
)
. Finally, we investigate the symmetry conditions with respect to some points on the metric space
(
Σ
2
/
∼
,
d
1
)
and we compare truncation errors for the computations which is obtained by the metrics
d
e
u
c
l
and
d
1
.
Description
Keywords
Metric spaces, Symbolic dynamics, Isometry