Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
Journal of Applied Mathematics, 2021 The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real-life problems.
T. M. Al-shami
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Spacetime topology from holographic entanglement
Journal of High Energy Physics, 2023 An asymptotically AdS geometry connecting two or more boundaries is given by a entangled state, that can be expanded in the product basis of the Hilbert spaces of each CFT living on the boundaries.
Marcelo Botta Cantcheff
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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
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The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli: Le groupe fondamental de quotients de produits de certains espaces topologiques par ungroupe fini — Généralisation d’un théorème de Bauer–Catanese–Grunewald–Pignatelli [PDF]
Épijournal de Géométrie Algébrique, 2021 We provide a description of the fundamental group of the quotient of a product of topological spaces X i, each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g ∈ G.
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Soft Separation Axioms and Fixed Soft Points Using Soft Semiopen Sets
Journal of Applied Mathematics, 2020 The importance of soft separation axioms comes from their vital role in classifications of soft spaces, and their interesting properties are studied.
T. M. Al-shami
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Fixed Point Theorems on Product Topological Semilattice Spaces, Generalized Abstract Economies and Systems of Generalized Vector Quasi-equilibrium Problems [PDF]
Taiwanese Journal of Mathematics, 2011 In this paper, we establish fixed point theorems for a family of multivalued maps defined on the product space of topological semilattice spaces. By using our fixed point theorems, we derive a result on the nonempty intersection of sets without convex structure and equilibrium existence theorems for generalized abstract economies with two constraint ...
Al-Homidan, Suliman +1 more
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Generalized independent families and dense sets of Box-Product spaces
Applied General Topology, 2006 A generalization of independent families on a set S is introduced, based on which various topologies on S can be defined. In fact, the set S with any such topology is homeomorphic to a dense subset of the corresponding box product space (Theorem 2.2 ...
Wanjun Hu
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Coreflectively modified continuous duality applied to classical product theorems
Applied General Topology, 2001 Several (old and new) results on stability of quotients (of various types) under product, on sequentiality of product of sequential spaces, on relationships between a topology and the upper Kuratowski convergence on its closed sets are derived from a ...
Frédéric Mynard
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017 In current product design, CAE based on FEA has become absolutely imperative for developing high quality products. In some analyses of assembly models with movable parts such as electro-magnetic field analyses of motors, conformal tetrahedral meshes ...
Hiroki MAEHAMA +2 more
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Eilenberg–Mac Lane Spaces for Topological Groups
Axioms, 2019 In this paper, we establish a topological version of the notion of an Eilenberg−Mac Lane space. If X is a pointed topological space, π 1 ( X ) has a natural topology coming from the compact-open topology on the space of maps S
Ged Corob Cook
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