scholarly journals A New Class on Ng# α-Quotient Mappings in Nano Topological Space

2020 ◽  
Vol 12 (3) ◽  
pp. 269-277
Author(s):  
V. Kokilavani ◽  
S. Visagapriya
Keyword(s):  
Topological Space ◽  
Quotient Mapping ◽  
New Class ◽  
Quotient Mappings ◽  
Relationship Of

The primary intend of this article is to define a new class of mappings called Ng# α-quotient mappings in nano topological space. The intention is to analyze characterizations and inter relationship of Ng# α-quotient mappings with nano Tg#α-space, Ng# α-continuous, Ng# α-open, Ng# α-irresolute, Ng# α-homeomorphism and nano α-quotient mapping. Also several properties of strongly Ng# α-quotient mapping are derived and the relationships among them are illustrated with the help of examples. Their interesting composition with strongly Ng# α-irresolute are established. The concept of Ng# α-quotient mapping is explored and composition of mappings under strongly Ng# α-quotient mapping and Ng# α-quotient mapping are discussed. Furthermore, to emphasize Ng# α-quotient mapping a few examples are considered and derived in detail.

scholarly journals η-Open Sets in Topological Spaces

2019 ◽  
Vol 8 (10S) ◽  
pp. 276-282
Keyword(s):  
Topological Space ◽  
The Other ◽  
Topological Spaces ◽  
New Class ◽  
Relationship Of

In this paper a new class of open sets in a topological space called η-open sets is defined and the inclusive relationship of this set with the other existing sets like semi open, pre-open, α-open, r-open sets are discussed.In addition to this the concept of η-interior, η-closure, η-boundary, η-exterior, η-derived, η-border, η-neighbourhood, η-dense, η-residual are also introduced.

scholarly journals On a topology between Tα and Tγα

Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 3209-3221
Author(s):  
Dimitrije Andrijevic
Keyword(s):  
Topological Space ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Closure Operators ◽  
New Class ◽  
Necessary And Sufficient

Using the topology T in a topological space (X,T), a new class of generalized open sets called ?-preopen sets, is introduced and studied. This class generates a new topology Tg which is larger than T? and smaller than T??. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for Tg to coincide with T? , T? or T??.

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

2015 ◽  
Vol 7 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Class ◽  
Properties And Characterization ◽  
Open Set ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Characterization Theorems

A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

scholarly journals On FuzzySp-Open Sets

2011 ◽  
Vol 2011 ◽  
pp. 1-5
Author(s):  
Hakeem A. Othman
Keyword(s):  
Topological Space ◽  
Continuous Mapping ◽  
Open Mapping ◽  
New Class ◽  
Fuzzy Topological Space ◽  
The Relationship

A new class of generalized fuzzy open sets in fuzzy topological space, called fuzzysp-open sets, are introduced, and their properties are studied and the relationship between this new concept and other weaker forms of fuzzy open sets we discussed. Moreover, we introduce the fuzzysp-continuous (resp., fuzzysp-open) mapping and other stronger forms ofsp-continuous (resp., fuzzysp-open) mapping and establish their various characteristic properties. Finally, we study the relationships between all these mappings and other weaker forms of fuzzy continuous mapping and introduce fuzzysp-connected. Counter examples are given to show the noncoincidence of these sets and mappings.

scholarly journals Structure-Activity Relationship of a New Class of Anti-Hepatitis B Virus Agents

2002 ◽  
Vol 46 (12) ◽  
pp. 4004-4008 ◽  
Author(s):  
Anand Mehta ◽  
Bertha Conyers ◽  
D. L. J. Tyrrell ◽  
Kathie-Anne Walters ◽  
Graham A. Tipples ◽  
...  
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Antiviral Activity ◽  
Head Group ◽  
New Class ◽  
Chemical Structures ◽  
B Virus ◽  
Ymdd Motif ◽  
Sugar Derivatives ◽  
Relationship Of

ABSTRACT N-Nonyl-deoxy-galactonojirimycin (N-nonyl-DGJ) has been shown to reduce the amount of hepatitis B virus (HBV) produced by tissue cultures under conditions where cell viability is not affected. We show here that the compound N-nonyl-DGJ was effective against lamivudine-resistant HBV mutants bearing the YMDD motif in the polymerase gene, consistent with the compound's activity being distinct from those of nucleoside inhibitors. To better understand the chemical structures that influence its antiviral activity, a series of imino sugar derivatives were made and tested for their antiviral activity against HBV. This work suggests that the antiviral activity of the alkovirs requires an alkyl chain length of at least eight carbons but that the galactose-based head group can be modified with little or no loss in activity.

scholarly journals Some New Refined General Boas-Type Inequalities

2012 ◽  
Vol 2012 ◽  
pp. 1-23
Author(s):  
A. Čižmešija ◽  
J. Pečarić ◽  
D. Pokaz
Keyword(s):  
Topological Space ◽  
Type Inequality ◽  
New Class ◽  
Borel Measures ◽  
Right Hand

We state and prove a new refined Boas-type inequality in a setting with a topological space and generalσ-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities related to balls inℝnand prove that constant factors involved in their right-hand sides are the best possible.

scholarly journals Contra-ω-Continuous and Almost Contra-ω-Continuous

2007 ◽  
Vol 2007 ◽  
pp. 1-13 ◽  
Author(s):  
Ahmad Al-Omari ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Topological Space ◽  
Continuous Functions ◽  
New Class

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion ofω-open sets in topological space to present and study a new class of called almost contraω-continuous functions as a new generalization of contra continuity.

scholarly journals Theory of g-Tg-Interior and g-Tg-Closure Operators: Definitions, Essential Properties, and Commutativity

2019 ◽  
Author(s):  
Mohammad Irshad KHODABOCUS ◽  
Noor-Ul-Hacq SOOKIA
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closure Operators ◽  
New Class ◽  
Essential Properties ◽  
Generalized Topological Space ◽  
Outstanding Result

In a generalized topological space Tg = (Ω, Tg), ordinary interior and ordinary closure operators intg, clg : P (Ω) −→ P (Ω), respectively, are defined in terms of ordinary sets. In order to let these operators be as general and unified a manner as possible, and so to prove as many generalized forms of some of the most important theorems in generalized topological spaces as possible, thereby attaining desirable and interesting results, the present au- thors have defined the notions of generalized interior and generalized closure operators g-Intg, g-Clg : P (Ω) −→ P (Ω), respectively, in terms of a new class of generalized sets which they studied earlier and studied their essen- tial properties and commutativity. The outstanding result to which the study has led to is: g-Intg : P (Ω) −→ P (Ω) is finer (or, larger, stronger) than intg : P (Ω) −→ P (Ω) and g-Clg : P (Ω) −→ P (Ω) is coarser (or, smal ler, weaker) than clg : P (Ω) −→ P (Ω). The elements supporting this fact are reported therein as a source of inspiration for more generalized operations.

scholarly journals A Cartesian closed category of event structures with quotients

2006 ◽  
Vol Vol. 8 ◽  
Author(s):  
Samy Abbes
Keyword(s):  
Topological Space ◽  
Event Structure ◽  
Cartesian Closed Category ◽  
New Class ◽  
Closed Category ◽  
Event Structures ◽  
Natural Notion ◽  
International Audience ◽  
Cartesian Closed

International audience We introduce a new class of morphisms for event structures. The category obtained is cartesian closed, and a natural notion of quotient event structure is defined within it. We study in particular the topological space of maximal configurations of quotient event structures. We introduce the compression of event structures as an example of quotient: the compression of an event structure E is a minimal event structure with the same space of maximal configurations as E.

scholarly journals Development of the doctrine of auto-inflammatory diseases in the XXI century

2019 ◽  
Vol 56 ◽  
pp. 5-18 ◽  
Author(s):  
E. S. Fedorov ◽  
S. O. Salugina ◽  
N. N. Kuzmina
Keyword(s):  
Inflammatory Diseases ◽  
Interleukin 1 ◽  
Autoinflammatory Diseases ◽  
Clinical Rheumatology ◽  
Course Assessment ◽  
New Class ◽  
Hereditary Autoinflammatory Diseases ◽  
Relationship Of

The article presents the development of the doctrine of autoinflammatory diseases (AID) in the last decade. Data on interleukin 1, inflammasomes and their role in the development of AID are presented. The paper also contains the data about interferonopathies and, in particular, proteasomal illnesses as a new class of hereditary autoinflammatory diseases. Variety of AID variants, including diseases with the dominance of one system damage (skin, intestines, bones) is shown. Advances in the AID diagnosis and course assessment of are discussed. Relationship of the AID with the problems of fundamental and clinical rheumatology is demonstrated.

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