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Graded topological spaces [PDF]
Proceedings of the American Mathematical Society, 2019 We introduce the notion of a "graded topological space": a topological space endowed with a sheaf of abelian groups which we think of as a sheaf of gradings.
Koppensteiner, Clemens
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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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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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Announcement as effort on topological spaces. [PDF]
Synthese, 2019 We propose a multi-agent logic of knowledge, public and arbitrary announcements, that is interpreted on topological spaces in the style of subset space semantics. The arbitrary announcement modality functions similarly to the effort modality in subset space logics, however, it comes with intuitive and semantic differences.
van Ditmarsch H, Knight S, Özgün A.
europepmc +11 more sources
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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Disjoint union of fuzzy soft topological spaces
AIMS Mathematics, 2023 In this work, sums of fuzzy soft topological spaces are defined with free union of a pairwise disjoint non-empty family of fuzzy soft topological spaces. Firstly, we give general information of fuzzy soft topological spaces. Then, we define free union of
Arife Atay
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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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On the Structure of Topological Spaces [PDF]
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial. A special class of spatial fibrous preorders consisting of an interconnected family of preorders indexed by a unitary ...
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Topology and Sobolev Spaces [PDF]
Journal of Functional Analysis, 2000 AbstractConsider the Sobolev class W1, p(M, N) where M and N are compact manifolds. We present some sufficient conditions which guarantee that W1, p(M, N) is path-connected. We also discuss cases where W1, p(M, N) admits more than one component. There are still a number of open problems, especially concerning the values of p where a change in homotopy ...
Haim Brezis, Yanyan Li
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Discretization of Topological Spaces [PDF]
The Quarterly Journal of Mathematics, 2016 19 ...
Massoud Amini, Nasser Golestani
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