TY - JOUR
T1 - Stratified L-ordered filter spaces
AU - Pang, Bin
N1 - Publisher Copyright:
© 2017 NISC (Pty) Ltd.
PY - 2017/8/29
Y1 - 2017/8/29
N2 - In this paper, stratified L-ordered filter spaces and stratified L-ordered Cauchy spaces are introduced. It is shown that the category of stratified L-ordered filter spaces is a strongly Cartesian closed topological category and the category of stratified L-ordered Cauchy spaces is a Cartesian closed topological category. Also, the relationships among stratified L-ordered filter spaces, stratified L-ordered Cauchy spaces, stratified L-filter spaces and stratified L-Cauchy spaces are investigated.
AB - In this paper, stratified L-ordered filter spaces and stratified L-ordered Cauchy spaces are introduced. It is shown that the category of stratified L-ordered filter spaces is a strongly Cartesian closed topological category and the category of stratified L-ordered Cauchy spaces is a Cartesian closed topological category. Also, the relationships among stratified L-ordered filter spaces, stratified L-ordered Cauchy spaces, stratified L-filter spaces and stratified L-Cauchy spaces are investigated.
KW - (Stratified) L-ordered filter space
KW - (stratified) L-ordered Cauchy space
KW - (strongly) Cartesian closed
KW - fuzzy order
UR - http://www.scopus.com/inward/record.url?scp=85021783534&partnerID=8YFLogxK
U2 - 10.2989/16073606.2017.1308976
DO - 10.2989/16073606.2017.1308976
M3 - Article
AN - SCOPUS:85021783534
SN - 1607-3606
VL - 40
SP - 661
EP - 678
JO - Quaestiones Mathematicae
JF - Quaestiones Mathematicae
IS - 5
ER -