Results 71 to 80 of about 117 (96)

Topological Up-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets.
Satirad Akarachai, Iampan Aiyared
doaj   +1 more source

Cech Closure Space in Structural Configuration of Proteins

open access: yes, 2009
The generalised structural arrangements of various bimolecule such as carbohydrates, proteins etc are based on the rules ofČech closure operator. In this paper we discuss the relationship betweenČech closure space and structural configuration of proteins.
K Chandrasekhara Rao   +3 more
core  

On Closure Operators, the Reals, and choice

open access: yes, 2004
Dedicated to our friend Guillaume Brümmer on the occasion of his 70th birthday.Abstract unavailable at this time...Mathematics Subject Classification (2000): 03E25, 54A05, 54D50, 54D55.Key words: Axiom of countable choice, closure operator, sequential ...
Giuli, Eraldo, Herrlich, Horst
core  

On πp--Open Sets in Hereditary Generalized Topological Spaces

open access: yes, 2016
In this paper, we define a new class of set called πp-ℋ-open sets and ( ℋ , λ)-continuous in hereditary generalized topological spaces. Also, we introduce the notions of πp-ℋ-open and πp-ℋ-closed functions by using πp-ℋ-open sets and πp-ℋ-closed sets ...
C Janaki, K Binoy Balan
core  

© Hindawi Publishing Corp. SOME PROPERTIES OF MAXIMAL OPEN SETS

open access: yes, 2002
Some fundamental properties of maximal open sets are obtained, such as decom-position theorem for a maximal open set. Basic properties of intersections of max-imal open sets are established, such as the law of radical closure.
Fumie Nakaoka, Nobuyuki Oda
core  

© Hindawi Publishing Corp. QUANTIFICATION OF TOPOLOGICAL CONCEPTS USING IDEALS

open access: yes, 2000
. We introduce certain ideals of real-valued functions as a natural generalization of filters. We show that these ideals establish a canonical framework for the quantification of topological concepts, such as closedness, adherence, and compactness, in ...
Robert Lowen, Bart Windels
core  

Precompactness And Compactness In The Natural Function Spaces Of The Category Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
core  

Completion Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of filter spaces (including symmetric convergence spaces [and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many ...
Gerhard Preuß
core  

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