A Tychonoff theorem for graded ditopological texture spaces
Özet
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.