Results 21 to 30 of about 560 (152)
[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan +6 more
wiley +1 more source
Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
wiley +1 more source
Epi‐α‐Normality and Epi‐β‐Normality
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A topological space (Y, τ) is called epi‐α‐normal (epi‐β‐normal) if there is a coarser topology τ′ on Y such that (Y, τ′) is T1 α‐normal (T1 β‐normal). We investigate these properties and show some examples to explain the relationships of epi‐α‐normal (epi‐β‐normal) with other weaker versions of normality and some topological spaces.
Nadia Gheith +2 more
wiley +1 more source
Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 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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Pseudofinite and Pseudocompact Metric Structures [PDF]
Notre Dame Journal of Formal Logic, 2015 Second version. Some typos fixed.
Goldbring, Isaac, Lopes, Vinicius Cifú
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On the Set Version of Selectively Star‐CCC Spaces
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 A space X is said to be set selectively star‐ccc if for each nonempty subset B of X, for each collection U of open sets in X such that B¯⊂∪U, and for each sequence An:n∈ℕ of maximal cellular open families in X, there is a sequence (An : n ∈ ℕ) such that, for each n ∈ ℕ, An∈An and B⊂St∪n∈ℕAn,U. In this paper, we introduce set selectively star‐ccc spaces
Ljubiša D. R. Kočinac +2 more
wiley +1 more source
Few remarks on maximal pseudocompactness
Applied General Topology, 2018 A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
Angelo Bella
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Pseudocompactness properties [PDF]
Proceedings of the American Mathematical Society, 1976 A topological extension property is a class of Tychonoff spaces P \mathcal {P}
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Applied General Topology, 2015 Suppose $F$ is a totally ordered field equipped with its order topology and $X$ a completely $F$-regular topological space. Suppose $\mathcal{P}$ is an ideal of closed sets in $X$ and $X$ is locally-$\mathcal{P}$.
Sudip Kumar Acharyya +2 more
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A pseudocompact group which is not strongly pseudocompact
Topology and its Applications, 2015 A topological space \(X\) is \textit{strongly pseudocompact} if for every sequence \((U_n)_{n\in\mathbb N}\) of pairwise disjoint non-empty open subsets of \(X\) there exists a sequence \((x_n)_{n\in\mathbb N}\) in \(X\) such that \(x_n\in U_n\) for every \(n\in\mathbb N\) and \(cl_X(\{x_n : n \in\mathbb N\})\setminus\left( \bigcup_{n\in\mathbb N}U_n ...
Garcia-Ferreira, S., Tomita, A. H.
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