Topological Groups
On orderability of topological groups
... Topological groups, orderable or ordered topological groups, non-archimedean metrizable, totally disconnected, locally compact abelian groups.. 1980 AMS SUBJECT CLASSIFICATION CODES.[r] ...
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A-paracompactness and Strongly A-screenability in Topological Groups
... To extend this work, we have discussed A-paracompactness and strongly A-screenability in topological and semi topological groups. We introduced the term N -capc disjoint sets, and presented the ...
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Stochastic processes on totally disconnected topological groups
... disconnected topological group which is complete, separa- ble, and ...diffeomorphism groups and loop groups of manifolds on Banach spaces over a local field are ...These groups were defined and ...
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Relative Property (T) for Topological Groups
... compact groups to topological ...a topological group G , the knowledge of the family of subsets X such that has relative Property (T) contains much more precise information than the bare information ...
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First non-abelian cohomology of topological groups II
... topological groups. We relate the cohomology of a normal subgroup N of a topological group G and the quotient G/N to the cohomology of ...a topological group by the notion of a principle ...
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On Hadamard's Inequalities for the Convex Mappings Defined in Topological Groups and Connected Result
... ON HADAMARD’S INEQUALITIES FOR THE CONVEX MAPPINGS DEFINED IN TOPOLOGICAL GROUPS AND CONNECTED RESULT.. Ali Morassaei.[r] ...
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On distal and equicontinuous compact right topological groups
... Since the structure theorem holds for every group that is a closed subgroup of a compact right topological group G’ with dense topological centre AG’ [12], one must wonder if G Tx {,, 1 [r] ...
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Almost Periodic Functions on Topological Groups
... In Section 2.1, we introduce almost periodic functions using the topological char- acterization of Bochner [4]. Bochner’s definition has the advantage of being adaptable to various generalizations, and for this ...
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Lacunary statistical convergence of double sequences in topological groups
... The notion of statistical convergence, which is an extension of the usual idea of conver- gence, was introduced by Fast [] and also independently by Schoenberg [] for real and complex sequences, but rapid developments ...
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Convergent nets in abelian topological groups
... The process used by Ledet and Clark [2] to construct group topologies in which a sequence an ∞ n=1 converges to 0 in G actually defines a group topology on the subgroup generated by {an }[r] ...
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Topological 2 generation of automorphism groups of countable ultrahomogeneous graphs
... Hence if X is finite, then ⟨ X ⟩ is either finite or countable, and if X is infinite then ⟨ X ⟩ has the same cardinality as X. Therefore, if G is uncountable and X is a generating set for G, it follows that | G | = | X | ...
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Signatures of Topological Superconductors
... induced topological superconductivity appear at the circumference of quantum well, as shown in ...the topological insulator is inside the bulk ...a topological insulator, we expect that su- ...
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Properties of Topological Spaces
... The class g = {X, ∅ }, consisting of X and ∅ alone, is itself a topology on X. It is called the indiscrete topology and X together with its indiscrete topology, that is, (X, g) is called an indiscrete topological ...
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Tilings in topological spaces
... a topological space and ᐀ a tiling such that FrT is locally connected for each tile T ∈ ᐀ and suppose that for every T ∈ ᐀ , every x ∈ FrT and every neighborhood U of x, the set (U −{x})∩FrT is ...
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On barrelled topological modules
... Obviously, each H,, is a submodule of H and H [.-J,,e H,, It is easily seen that H,, is closed in F x E,, when F x E,, is endowed with the product topology, so that H,, is a complete met[r] ...
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Semi topological properties
... In the following example we shall use this technique to show that the property of being minimal Hausdorff, or being sequential and Hausdorff minimal or being minimal completely regular i[r] ...
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Fuzzy topological spaces
... of compactness, and the wrong definition of a product space I still had the "right" definition Of a uniformity, though, since it was not defined in terms of products... paper on products[r] ...
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Topological Active Volumes
... There are many approaches for segmentation proposed in the literature. Nowadays, level set methods and de- formable models have become two of the most promising techniques for segmentation, mapping, tracking, and mod- ...
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On topological issues of indeterminism
... property has various negative consequences for physics, which Earman lists. So, in order to avoid these consequences, each individual spacetime in BST needs to satisfy the Hausdorff property. We thus investigate whether ...
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On the existence of topological dyons and dyonic black holes in anti de Sitter Einstein Yang Mills theories with compact semisimple gauge groups
... In this paper, we shall prove the existence of black hole and soliton solutions to 4D static adS EYM field equations for general compact, simply connected, and semi- simple Lie gauge groups. We shall do this using ...
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