Gähler's neighborhood condition for lattice-valued convergence spaces
References (31)
- et al.
Lattice-valued spaces: fuzzy convergence
Fuzzy Sets Syst.
(2006) Subcategories of lattice-valued convergence spaces
Fuzzy Sets Syst.
(2005)Pretopological and topological lattice-valued convergence spaces
Fuzzy Sets Syst.
(2007)Lattice-valued convergence spaces and regularity
Fuzzy Sets Syst.
(2008)- et al.
On adjunctions between Lim, SL-Top, and SL-Lim
Fuzzy Sets Syst.
(2011) - et al.
Lattice-valued convergence: extending the lattice context
Fuzzy Sets Syst.
(2012) On many-valued stratified L-fuzzy convergence spaces
Fuzzy Sets Syst.
(2008)- et al.
Abstract and Concrete Categories
(1989) - et al.
Approach spaces, limit tower spaces, and probabilistic convergence spaces
Appl. Categorical Struct.
(1997) Stratified L-ordered convergence structures
Fuzzy Sets Syst.
(2010)
Limesräume Math. Ann.
Grundlagen der Analysis I
Monadic convergence structures
The relationship between various filter notions on a GL-monoid
J. Math. Anal. Appl.
Categorical properties of probabilistic convergence spaces
Appl. Categorical Struct.
Cited by (16)
Lattice-valued convergence associated with CNS spaces
2019, Fuzzy Sets and SystemsStratified LMN-convergence tower spaces
2016, Fuzzy Sets and SystemsThe lower and upper p-topological (p-regular) modifications for lattice-valued convergence spaces
2016, Fuzzy Sets and SystemsCitation Excerpt :And by the definition of regular modification, we can prove similarly to Theorem 4.1 in [24] that SL-RGCS (resp., SL-RSGCS) is bireflective in SL-GCS (resp., SL-SGCS). It has been known that the topological stratified L-strong generalized convergence spaces characterize precisely the stratified L-topological spaces [13]. Thus, analogizing Definition 4.7, we can define the topological modification for stratified L-strong generalized convergence spaces.
On stratified L-convergence spaces: Fischer's diagonal axiom
2015, Fuzzy Sets and SystemsOn diagonal completion of lattice-valued diagonal Cauchy spaces
2015, Fuzzy Sets and SystemsP-Topologicalness and p-regularity for lattice-valued convergence spaces
2014, Fuzzy Sets and SystemsCitation Excerpt :Similar to Proposition 3.2, we get the following proposition. In the literatures [14,15,17,23,25], lattice-valued Fischerʼs diagonal conditions and lattice-valued Gählerʼs neighborhood conditions were used to study topologicalness for stratified L-generalized convergence spaces. In this subsection, by generalizing these conditions, we shall study p-topologicalness for stratified L-generalized convergence spaces.