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International Journal of Theoretical Physics, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
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Topological Quasilinear Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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Fibre wise Multi-Perfect Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The essential objective of this paper is to existing a new notion of fibrewise topological spaces on D is named to be upper perfect topological spaces, lower perfect topological spaces, multi-perfect topological spaces, fibrewise upper perfect ...
Y. Y. Yousif, M.H. Jaber
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Fibrewise Fuzzy Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 We introduce and discuss the modern type of fibrewise topological spaces, namely fibrewise fuzzy topological spaces. Also, we introduce the concepts of fibrewise closed fuzzy topological spaces, fibrewise open fuzzy topological spaces, fibrewise locally ...
Yousif Y. Yousif
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A new approach to nearly paracompact spaces
Математичні Студії, 2023 The pre-open sets are a generalization of open sets of topological spaces. In this paper, we introduce and study a notion of po-paracompact spaces via pre-open sets on topological spaces.
A. Mukharjee
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Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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The Ingenuity of Neutrosophic Topology via N-Topology [PDF]
Neutrosophic Sets and Systems, 2018 In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc.
M. Lellis Thivagar +3 more
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Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces
Journal of Mathematics, 2021 An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent to a molecule in LX.
Ting Yang +4 more
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On Characterizations of ∗-Hyperconnected Ideal Topological Spaces
Journal of Mathematics, 2020 In the present paper, some characterizations of ∗-hyperconnected ideal topological spaces are investigated. Moreover, we introduce the notion of S∗-ℐ-hyperconnected ideal topological spaces.
Chawalit Boonpok
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