scholarly journals On general closure operators and quasi factorization structures

2021 ◽  
Vol 14 (1) ◽  
pp. 39-80
Author(s):  
Seyed Shahin Mousavi Mirkalai ◽  
Naser Hosseini ◽  
Azadeh Ilaghi-Hosseini
Keyword(s):  
Closure Operators

Digital Jordan Curves and Surfaces with Respect to a Closure Operator

2021 ◽  
Vol 179 (1) ◽  
pp. 59-74
Author(s):  
Josef Šlapal
Keyword(s):  
Direct Product ◽  
Jordan Curve ◽  
Closure Operator ◽  
Jordan Curve Theorem ◽  
Closure Operators ◽  
Ternary Relation ◽  
Digital Space ◽  
Jordan Curves ◽  
Curves And Surfaces ◽  
Digital Plane

In this paper, we propose new definitions of digital Jordan curves and digital Jordan surfaces. We start with introducing and studying closure operators on a given set that are associated with n-ary relations (n > 1 an integer) on this set. Discussed are in particular the closure operators associated with certain n-ary relations on the digital line ℤ. Of these relations, we focus on a ternary one equipping the digital plane ℤ2 and the digital space ℤ3 with the closure operator associated with the direct product of two and three, respectively, copies of this ternary relation. The connectedness provided by the closure operator is shown to be suitable for defining digital curves satisfying a digital Jordan curve theorem and digital surfaces satisfying a digital Jordan surface theorem.

scholarly journals Reflective Full Subcategories of the Category ofL-Posets

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Hongping Liu ◽  
Qingguo Li ◽  
Xiangnan Zhou
Keyword(s):  
Special Class ◽  
Full Subcategory ◽  
Closure Operators ◽  
The Relationship ◽  
Equivalent Description

This paper focuses on the relationship betweenL-posets and completeL-lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of completeL-lattices is a reflective full subcategory of the category ofL-posets with appropriate morphisms. Moreover, we characterize the Dedekind-MacNeille completions ofL-posets and provide an equivalent description for them.

On Closure Operators, the Reals, and Choice

2004 ◽  
Vol 27 (2) ◽  
pp. 147-151
Author(s):  
Eraldo Giuli ◽  
Horst Herrlich
Keyword(s):  
Closure Operators

U-Closure Operators and Compactness

2005 ◽  
Vol 13 (5-6) ◽  
pp. 453-467 ◽  
Author(s):  
G. Castellini ◽  
E. Giuli
Keyword(s):  
Closure Operators

n-closure systems and n-closure operators

2006 ◽  
Vol 55 (2-3) ◽  
pp. 369-386 ◽  
Author(s):  
George Voutsadakis
Keyword(s):  
Closure Operators ◽  
Closure Systems

t-closure Operators

2018 ◽  
Vol 48 (2) ◽  
pp. 139-156 ◽  
Author(s):  
Mehmet Akif İnce ◽  
Funda Karaçal
Keyword(s):  
Closure Operators

scholarly journals Dual closure operators and their applications

2015 ◽  
Vol 439 ◽  
pp. 373-416 ◽  
Author(s):  
Dikran Dikranjan ◽  
Walter Tholen
Keyword(s):  
Closure Operators ◽  
Dual Closure

scholarly journals On k-closure operators in graphs

1980 ◽  
Vol 43 (2) ◽  
pp. 373-381
Author(s):  
J. Płonka
Keyword(s):  
Closure Operators
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