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Labelled transition systems as a Stone space [PDF]
Logical Methods in Computer Science, 2005 A fully abstract and universal domain model for modal transition systems and refinement is shown to be a maximal-points space model for the bisimulation quotient of labelled transition systems over a finite set of events.
Michael Huth
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Proceedings of International Mathematical Sciences, 2023 The goal of this paper is to characterize each of compact, totally disconnected, Stone relation spaces, and Stone reflexive spaces as well as examine the relationships between them. Finally, we investigate some properties of them and compare our results.
Mehmet Baran
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QUASI-TOPOLOGICAL STONE SPACES [PDF]
Demonstratio Mathematica, 1994 The author investigates basic properties concerning quasi-topological Stone spaces and presents some relationships between quasi-topological Boolean algebras and quasi-topological Stone spaces. He proves that the categories of quasi-topological Boolean algebras with homomorphisms and quasi-topological Stone spaces with 2-continuous mappings are dually ...
Bronislaw Tembrowski
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Stone duality for Kolgomorov small spaces [PDF]
Symmetry, 2019 In this paper, we prove new versions of Stone Duality. The main version is the following: the category of Kolmogorov locally small spaces and bounded continuous mappings is equivalent to the category of spectral spaces with decent lumps and with bornologies in the lattices of (quasi-) compact open sets as objects and spectral mappings respecting those ...
Artur Piękosz
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Between a Stone and a Hausdorff Space [PDF]
The British Journal for the Philosophy of Science, 2023 We consider the duality between General Relativity and the theory of Einstein algebras, in the extended setting where one permits non-Hausdorff manifolds. We show that the duality breaks down, and then go on to discuss a sense in which general relativity, formulated using non-Hausdorff manifolds, exhibits excess structure when compared to Einstein ...
Jingyi Wu, James Owen Weatherall
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On the Stone-Čeck compactification of an orbit space [PDF]
Bulletin of the Australian Mathematical Society, 1987 By extending the given action of a discrete group G on a Tychonoff space X to βX, it is proved that the Stone-Čech compactification of the orbit space of X is the orbit space of the Stone-Čech compactification βX of X, when G is finite. The notion of G-retractive spaces is introduced and it is proved that the orbit space of a G-retractive space with G ...
Kavita Srivastava
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The Stone Age in a Space Cruiser
EXARC Journal, 2012 The Jeongok Prehistory Museum in South Korea. Like a stranded UFO the building is settled between the hills at a river (See Figure 1), the sun reflects off the metal outer skin.
Wulf Hein
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Stone space partitions indexed by a poset [PDF]
Algebra Universalis, 2023 A. B. Apps
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Some topological invariants of Stone spaces. [PDF]
Michigan Mathematical Journal, 1969 Roger Wiegand
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