Geodesic
The categorical relationships between neighborhood spaces, -neighborhood spaces and stratified l-neighborhood spaces
Filomat, Tome 35 (2021) no. 4, p. 1267

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, for a complete residuated lattice L, we present the categorical properties of-neighborhood spaces and their categorical relationships to neighborhood spaces and stratified L-neighborhood spaces. The main results are: (1) the category of-neighborhood spaces is a topological category; (2) neighborhood spaces can be embedded in-neighborhood spaces as a reflective subcategory, and when L is a meet-continuous complete residuated lattice,-neighborhood spaces can be embedded in stratified L-neighborhood spaces as a reflective subcategory; (3) when L is a continuous complete residuated lattice, neighborhood spaces (resp.,-neighborhood spaces) can be embedded in-neighborhood spaces (resp., stratified L-neighborhood spaces) as a simultaneously reflective and coreflective subcategory
DOI : 10.2298/FIL2104267L
Classification : 54A40, 54A10
Keywords: Fuzzy topological spaces, fuzzy neighborhood spaces, residuated lattice, categorical relationship, >-neighborhood spaces, stratified L-neighborhood spaces 
Lingqiang Li; Qiu Jin; Chunxin Bo; Zhenyu Xiu. The categorical relationships between neighborhood spaces, -neighborhood spaces and stratified l-neighborhood spaces. Filomat, Tome 35 (2021) no. 4, p. 1267 . doi: 10.2298/FIL2104267L
@article{10_2298_FIL2104267L,
     author = {Lingqiang Li and Qiu Jin and Chunxin Bo and Zhenyu Xiu},
     title = {The categorical relationships between neighborhood spaces, -neighborhood spaces and stratified l-neighborhood spaces},
     journal = {Filomat},
     pages = {1267 },
     year = {2021},
     volume = {35},
     number = {4},
     doi = {10.2298/FIL2104267L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104267L/}
}
TY  - JOUR
AU  - Lingqiang Li
AU  - Qiu Jin
AU  - Chunxin Bo
AU  - Zhenyu Xiu
TI  - The categorical relationships between neighborhood spaces, -neighborhood spaces and stratified l-neighborhood spaces
JO  - Filomat
PY  - 2021
SP  - 1267 
VL  - 35
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2104267L/
DO  - 10.2298/FIL2104267L
LA  - en
ID  - 10_2298_FIL2104267L
ER  - 
%0 Journal Article
%A Lingqiang Li
%A Qiu Jin
%A Chunxin Bo
%A Zhenyu Xiu
%T The categorical relationships between neighborhood spaces, -neighborhood spaces and stratified l-neighborhood spaces
%J Filomat
%D 2021
%P 1267 
%V 35
%N 4
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2104267L/
%R 10.2298/FIL2104267L
%G en
%F 10_2298_FIL2104267L

Cité par Sources :