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LIT-358: Applications of the theory of Boolean rings to general topology

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StatusActive — read in full 2026-09-29 (NOTE-311); worth reading as the primary source of Stone duality and the correct citation for map row 8's "Stone duality", replacing LIT-353. For that purpose Chapter I (pp. 378–394) is enough. The rest is a long general-topology memoir whose best-known results (Stone–Čech, Stone–Weierstrass, Banach–Stone) are stated in 1937 vocabulary (bicompact, H-space, analytical isomorphism) and are now better learned from textbooks.
Version2
Tagsmathematics, logic
Cited as “paper” byNOTE-311 — Applications of the theory of Boolean rings to general topology
Cited as “source” byTHEORY-020 — Every Boolean algebra is the clopen algebra of its Stone space of prime ideals, and a finite one is the power set of its atoms, so a single Boolean context always has two-valued valuations and the Kochen–Specker obstruction lies in how contexts overlap

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Stone (1937), Transactions of the American Mathematical Society 41(3):375–481, May 1937 (issue month from the running heads; volume, pages and DOI Crossref-verified) — DOI-10.1090/S0002-9947-1937-1501905-7

Standing in the record

Filed on 2026-09-29 as a supplemental reading. The close readings of the owner’s prior-art novelty map’s references found the map’s citation for this point wrong, or its source unreachable, and this work is the candidate replacement. published: is the first appearance (ADR-002).

It was filed Deferred, unread. NOTE-311 is the close reading of 2026-09-29, and it placed the work: Active — worth reading as the primary source of Stone duality and the correct citation for map row 8’s “Stone duality”, replacing LIT-353. For that purpose Chapter I (pp. 378–394) is enough. The rest is a long general-topology memoir whose best-known results (Stone–Čech, Stone–Weierstrass, Banach–Stone) are stated in 1937 vocabulary (bicompact, H-space, analytical isomorphism) and are now better learned from textbooks.

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