A Tychonoff theorem for graded ditopological texture spaces
No Thumbnail Available
Files
Date
2020-06-30
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
In this paper, initial and product graded ditopologies are formulated and accordingly it is shown that
d
f
G
D
i
t
o
p
is topological over
d
f
T
e
x
×
d
f
T
e
x
. By means of spectrum idea, (di)compactness in graded ditological texture
spaces is defined as a generalization of (di)compactness in ditopological case and its relation with the ditopological case is investigated. Moreover, using graded difilters, two characterizations of dicompactness of graded ditological texture spaces are obtained.
Description
Keywords
Dicompactness spectrum, Product graded ditopology, Initial graded ditopology