From objects to diagrams for ranges of functors

DOI10.1007/978-3-642-21774-6zbMath1241.18001arXiv1003.4850OpenAlexW4206791359MaRDI QIDQ555545

Pierre Gillibert, Friedrich Wehrung

Publication date: 25 July 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4850

zbMATH Keywords

latticeposetsemilatticecongruenceaccessible categoriescondensate lifting lemmadirected colimitfunctor liftingGrätzer-Schmidt theorem

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Subalgebras, congruence relations (08A30) Nonclassical and second-order set theories (03E70) General theory of categories and functors (18A99) Accessible and locally presentable categories (18C35) Research exposition (monographs, survey articles) pertaining to category theory (18-02)

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Diagram induced properties of congruence lattices ⋮ The possible values of critical points between varieties of lattices ⋮ A solution to the MV-spectrum problem in size aleph one ⋮ Real spectrum versus \(\ell\)-spectrum via Brumfiel spectrum ⋮ Lifting defects for nonstable \(K_{0}\)-theory of exchange rings and \(C^*\)-algebras ⋮ Infinite combinatorial issues raised by lifting problems in universal algebra ⋮ The possible values of critical points between strongly congruence-proper varieties of algebras ⋮ An infinite combinatorial statement with a poset parameter ⋮ From noncommutative diagrams to anti-elementary classes ⋮ Representing some families of monotone maps by principal lattice congruences ⋮ Cometic functors and representing order-preserving maps by principal lattice congruences ⋮ Categories of partial algebras for critical points between varieties of algebras. ⋮ Uncountable critical points for congruence lattices ⋮ Evaporation schemes in congruence lattices of majority algebras ⋮ Cevian operations on distributive lattices

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