S - δ -connectedness in S -proximity spaces
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
New types of connectedness in
S
-proximity spaces, named as an
S
-
δ
-connectedness, local
S
-
δ
-connectedness are introduced. Also, their inter-relationships are studied. In an
S
-proximity space
(
X
,
δ
X
)
, the
S
-
δ
-connectedness of a subset
U
of
X
with respect to
δ
X
may not be same as the
S
-
δ
-connectedness of
U
with respect to its subspace proximity
δ
U
. Further,
S
-
δ
-component and
S
-
δ
-treelike spaces are also defined and a number of results are given.
Description
Keywords
S -proximity space, δ -Connected, δ -component, locally δ -Connected, δ -treelike