β open
New Type of Strongly Continuous Functions in Topological Spaces via δ-β-Open Sets
... − β-continuous functions and give several characterizations and fundamental properties concerning strongly θ −δ−β-continuous functions by using δ − β-open sets due to by Erdal Ekici [9] and ...
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On Generalized β-Open Sets in Ideal Bitopological Space
... notion of semi-open sets in bitopological spaces. Khedr [14] in 1992, defined semi-preopen (β-open)sets in bitopological spaces. K. Kuraowski [15] in 1966, studied and applied the concept of ideals ...
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On β-Open Sets and Ideals in Topological Spaces
... Al-Juhani, β ∗ -Open Sets and β ∗ -continuity in Topological Spaces, Journal of Kerbala University, ...soft β-open sets and soft β-continuous functions, The ...
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Vol 9, No 8 (2018)
... The notions of compactness and connectedness are useful and fundamental notions of not only general topology but also of other advanced branches of mathematics. Many researchers have investigated the basic properties of ...
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Vol 8, No 12 (2017)
... In 1970, Levine [9] introduced the concept of generalized closed set in topological spaces. In 2000, M.K.R.S Veerakumar [19] introduced several generalized closed sets namely g* closed set,*g closed set, 𝛼 *g closed set, ...
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Decomposition of continuity via $\theta$-local function in ideal topological spaces
... In 1968, Velicko[18] introduced the notions of θ-open subsets, θ-closed subsets and θ-closure, for the sake of studying the important class of H-closed spaces in terms of arbitrary filterbases. In 1990, Jankovic ...
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More connectedness in topological spaces
... Example 3.6. (i) Let X = { a, b, c, d } and τ = {∅ , { a } , { b } , { a, b } , { a, b, c } , X } . Then SO(X) = βO(X) = {∅ , { a } , { b } , { a, b } , { a, c } , { a, d } , { a, c, d } , {a, b, c}, {a, b, d}, {b, c, ...
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On Almost β Topological Vector Spaces
... almost β -topological vector spaces by using the concept of β -open ...almost β -topological vector spaces and determined its relationship with to- pological vector ...of β -topological ...
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On characterization of fuzzy η-continuous functions where η∈ {α, p, q, semi, pre, β, strongly pre}
... C-fuzzy β-open sets, C-fuzzy strongly pre-opensets, C-fuzzy p-sets, C-fuzzy q-sets and C-fuzzy α-closed sets, C-fuzzy semi-closed sets, C-fuzzy pre-closed sets, C-fuzzy β-closed sets and C-fuzzy ...
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Vol 6, No 12 (2015)
... pre open (β -open) [1] ...introduce β * gα -closed sets [21] in topological spaces and using this set, the spaces c T β*gα and 1/2 T β*gα were ...introduced. β -continuity ...
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A note on \On -Open Sets and Ideals in Topological Spaces"[European Journal of Pure and Applied Mathematics 6 (2019) 893{903]
... It should be noted that, in the head of [Lemma 2, p. 895] the authors supposed that “(X, τ, I)” is an ideal topological space, but they didn’t use it in the proof as this lemma studied only the properties of ...
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Other Kinds of Soft β maps via Soft Topological Ordered Spaces
... soft open and soft closed sets, soft neighborhoods, soft interior and soft closure ...soft β-open sets and soft β-separations axioms, ...to β-open sets and βT i -spaces from the ...
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Slightly β continuous functions
... any open set containing f ...any open set of (Y , σ ...is β-open and β-closed in (X, τ). Therefore, f is β-continuous ...
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Vol 2, No 10 (2011)
... (i) Every almost-r-open map is almost v-open but not conversely. (ii) Every almost-r-open map is almost rα-open but not conversely. (iii)Every almost rα-open map is almost v-open ...
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Some Characterizations of β-paracompactness in Ideal Topological Space
... be β-open [1] (preopen [18]) if A ⊆ cl(int(cl(A)))(A ⊆ ...of β-open sets is equal to that of semi-preopen sets in ...semi- open (resp. β-open and preopen) sets of (X, τ ) ...
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Effects of Excess Mg and Si on the Isothermal Ageing Behaviours in the Al Mg2Si Alloys
... of β needles precipitated are thought to be domi- nated by the solubility product of Mg, Si and Al atoms and the increase of either Mg or Si atoms will increase the amounts of β ...stable β -Mg 2 Si ...
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Non-contiguous finished genome sequence and description of Kallipyga massiliensis gen. nov., sp. nov., a new member of the family Clostridiales Incertae Sedis XI
... for β-galactosidase, β- galactosidase-6-phosphate, α-arabinosidase, β- glucuronidase, N-acetyl-β-glucosaminidase, glutamic acid decarboxylase, proline arylamidase, leucyl gly- cine ...
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Lentivirus-mediated interleukin-1β (IL-1β) knock-down in the hippocampus alleviates lipopolysaccharide (LPS)-induced memory deficits and anxiety- and depression-like behaviors in mice
... IL-1 β shRNA lentivirus or non-silencing shRNA control (NS shRNA) lentivirus by microinjection into the dentate gyrus (DG) regions of the ...IL-1 β , tumor necrosis factor (TNF- α ), neuropeptide VGF ...
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Non contiguous-finished genome sequence and description of Peptoniphilus obesi sp. nov.
... Figure 6. Graphical circular map of the chromosome. From the outside in, the outer two circles show open reading frames oriented in the forward (colored by COG categories) and reverse (colored by COG categories) ...
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Immune effects of Alarelin on ovarian development and GnRH receptor mRNA expression levels of pituitary in tilapia (Oreochromis niloticus)
... The GnRH-a antigen showed good antigenicity and immunogenicity in female tilapia in that it induced anti-GnRH antibodies when combined with an intrinsic macromolecular immunogenic protein (Hosseini, Aleyasin, Saeedi, ...
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