Results 11 to 20 of about 66 (64)
On Soft SIgδs-closed sets [PDF]
E3S Web of Conferences, 2023 In this paper, we introduce some new notions called soft SIgδs - closed sets, soft SIgδs - open sets. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of sets.
Rosemathy Y. +4 more
doaj +2 more sources
A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : An ideal topological space (X,Ï„,I) is said to be an F* – space if A=Cl*(A) for every open set A ⊂ X. In this paper, a decomposition of continuity on F* – spaces is introduced.
A. ACIKGOZ
doaj +1 more source
On the Borel Classes of Set-Valued Maps of Two Variables
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
doaj +1 more source
On ω*-open sets and decomposition of continuity
Topological Algebra and its Applications, 2022 In this paper our main interest is to introduce a new topology on an ideal topological space.We have studied some properties of this newly defined topology.
Roy Bishwambhar, Sen Ritu
doaj +1 more source
On some spaces via topological ideals
Open Mathematics, 2023 Our main purpose is to introduce and investigate the concepts of some forms of spaces via topological ideals. Some characterizations of some forms of spaces via topological ideals are established.
Boonpok Chawalit
doaj +1 more source
Some Analogues of Topological Groups
Discussiones Mathematicae - General Algebra and Applications, 2021 Let (G, ∗) be a group and τ be a topology on G. Let τα = {A ⊆G : A ⊆ Int(Cl(Int(A)))}, g ∗ τ = {g ∗ A : A ∈ τ} for g ∈ G. In this paper, we establish two relations between G and τ under which it follows that g ∗ τ ⊆ τα and g ∗ τα ⊆ τα, designate them by ...
Ram Madhu
doaj +1 more source
A Separately Continuous Function Not Somewhat Continuous
Annales Mathematicae Silesianae, 2022 We construct a separately continuous function f : ℚ × ℚ → [0; 1] and a dense subset D ⊆ ℚ × ℚ such that f[D] is not dense in f[ℚ × ℚ], in other words, f is separately continuous and not somewhat (feebly) continuous.
Bielas Wojciech
doaj +1 more source
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we continue studying the properties of weak soft axioms discussed and studied in [8]. We initiate and explore soft semi-R0 spaces at soft point in terms of soft semi-open sets and study its characterizations and properties.
Hussain Sabir
doaj +1 more source
Properties Of New Classes Of ω-µ-Sets In Gts
, 2023 The notions of ω-µ-closed sets and ω-µ-open sets in generalized topological space were introduced and studied by Al Ghour and Zareer. In this paper, we introduce new classes of ω-µ-open sets and continuous functions in topological spaces and study the ...
Rosas, E +3 more
core +1 more source
Sum of the spaces on ordered setting
Moroccan Journal of Pure and Applied Analysis, 2020 One of the divergences between topology and ordered topology is that some topological concepts such as separation axioms and continuous maps are defined using open neighborhoods or neighborhoods without any difference, however, they are distinct on the ...
Al-shami T. M.
doaj +1 more source