Hypersoft separation axioms
نویسندگان
چکیده
In this manuscript, we continue to study the hypersoft topological space (for short, HSTS) by presenting (HS) separation axioms, called HS Ti-spaces for i = 0, 1, 2, 3, 4. The notions of regular and normal spaces are explained in detail. We discuss connections between them present numerous examples help clarify interconnections different types these spaces. point out that Ti-axioms imply Ti?1 with an example show T4-space need not be T3-space. also property being (i 3) is hereditary. Finally, provide a diagram illustrate relationships our proposed axioms.
منابع مشابه
On rg - Separation Axioms
In this paper we define almost rg-normality and mild rg-normality, continue the study of further properties of rgnormality. We show that these three axioms are regular open hereditary. Also define the class of almost rg-irresolute mappings and show that rg-normality is invariant under almost rg-irresolute M-rg-open continuous surjection. AMS Subject Classification: 54D15, 54D10.
متن کاملFuzzy Minimal Separation Axioms
In this paper, we deal with some separation axioms in the context of fuzzy minimal structures.
متن کاملSplittability and Low Separation Axioms
The power and usefulness of cleavability (also known as splittability) have been well established within the framework of topology by A.V. Arhangel’skii and his associates. The concept was transferred to partially ordered sets by D.J. Marron and T.B.M. McMaster. The connections between topology and order are here exploited as we examine the properties enjoyed by a topological space that is spli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2219679a