Results 11 to 20 of about 226 (114)
The equivalence of two definitions of sequential pseudocompactness [PDF]
Applied General Topology, 2016 We show that two possible definitions of sequential pseudocompactness are equivalent, and point out some consequences.
Paolo Lipparini
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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}
Samuel Broverman
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Strongly τ-pseudocompact spaces [PDF]
Topology and its Applications, 1998 All hypothesized spaces are Tychonoff, and \(\tau\) is an infinite cardinal number. The author introduces the concept of a strongly \(\tau\)-pseudocompact space, studies its relation to initial \(\tau\)-compactness, and extends results of [\textit{J. F. Kennison}, Trans. Am. Math. Soc. 104, 436-442 (1962; Zbl 0111.35004)] and others.
Tamariz, A +5 more
core +7 more sources
Few remarks on maximal pseudocompactness [PDF]
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 and invariance of continuity
General Topology and its Applications, 1977 AbstractGiven a space (X, ˕) and a class Σ of spaces, we study the topologies comparable to ˕ which determine the same continuous functions into all spaces of Σ, which we call the Σ-invariant expansions and compressions of ˕. We extend results of E. Kocela relating pseudo-compactness and real-invariant expansions to obtain characterizations of minimal ...
Guthrie, Joe A., Stone, H. E.
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Differential graded Koszul duality: An introductory survey
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1551-1640, August 2023., 2023 Abstract This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG‐algebras and curved DG‐coalgebras, as ...
Leonid Positselski
wiley +1 more source
[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
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