In topology and related areas of mathematics, a Stone space, also known as a profinite space[1] or profinite set, is a compact totally disconnected Hausdorff space.[2] Stone spaces are named after Marshall Harvey Stone who introduced and studied them in the 1930s in the course of his investigation of Boolean algebras, which culminated in his representation theorem for Boolean algebras.
^Stone space at the nLab
^"Stone space", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
mathematics, a Stonespace, also known as a profinite space or profinite set, is a compact totally disconnected Hausdorff space. Stonespaces are named after...
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zero-dimensional. Pairwise Stonespaces are a bitopological version of the Stonespaces. Pairwise Stonespaces are closely related to spectral spaces. Theorem: If (...
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Hausdorff space. Every Stonean space is a Stonespace, but not vice versa. In the duality between Stonespaces and Boolean algebras, the Stonean spaces correspond...
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categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they...
is called Stone representation of distributive lattices). X is homeomorphic to the spectrum of a commutative ring. X is the topological space determined...
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clopen sets of the Stonespace are then precisely the complexes of the Stone representation. The area of mathematics known as Stone duality is founded...
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a fact which is part of the Stone representation theorem. Stonespaces, compact totally disconnected Hausdorff spaces, form the abstract framework in...
each Priestley space (X,τ,≤), the topological space (X,τ) is a Stonespace; that is, it is a compact Hausdorff zero-dimensional space. Some further useful...
The Black Stone (Arabic: ٱلْحَجَرُ ٱلْأَسْوَد, al-Ḥajaru al-Aswad, 'Black Stone') is a rock set into the eastern corner of the Kaaba, the ancient building...
John StoneStone (September 24, 1869 – May 20, 1943) was an American mathematician, physicist and inventor. He initially worked in telephone research...
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spaces, spectral spaces, and pairwise Stonespaces. This duality, which is originally also due to Marshall H. Stone, generalizes the well-known Stone...
The Stone may refer to: The Stone (music space), an experimental music space in New York City The Stone (San Francisco), a music club at 412 Broadway...
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