Results 1 to 10 of about 178 (164)
On the Cohomology of Topological Semigroups
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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On Cℵ-Fibrations in Bitopological Semigroups [PDF]
We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the Cℵ-fibration property. We give and prove the relationship between the Cℵ-fibration property and an approximate
Suliman Dawood, Adem Kılıçman
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Automatic continuity of homomorphisms between topological inverse semigroups
We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
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Fourier Algebras on Topological Foundation *-Semigroups. [PDF]
We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological *-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras.
Massoud Amini, Amini Massoud
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Pseudocompact and precompact topological subsemigroups of topological groups
It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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𝜅-topologies for right topological semigroups [PDF]
Given a cardinal κ \kappa and a right ...
Baker, John, Hindman, Neil, Pym, John
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(m, n)-Ideals in Semigroups Based on Int-Soft Sets
Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces.
G. Muhiuddin, Abdulaziz M. Alanazi
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Series with Commuting Terms in Topologized Semigroups [PDF]
We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Castejón Lafuente, Alberto Elias +2 more
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Closed subsets of compact-like topological spaces
We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
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Ternary semigroups of topological transformations
A ternary semigroup is a nonempty set with a ternary operation which is associative. The purpose of the present paper is to give a characterization of open sets of finite-dimensional Euclidean spaces by ternary semigroups of pairs of homeomorphic ...
F.Kh. Muradov
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