LEADER 03335nam 22005895 450 001 9910254086603321 005 20200706165528.0 024 7 $a10.1007/978-3-319-44236-5 035 $a(CKB)3710000000892253 035 $a(DE-He213)978-3-319-44236-5 035 $a(MiAaPQ)EBC4714752 035 $z(PPN)258871350 035 $a(PPN)196326079 035 $a(EXLCZ)993710000000892253 100 $a20161008d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLattice Theory: Special Topics and Applications $eVolume 2 /$fedited by George Grätzer, Friedrich Wehrung 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XV, 616 p. 136 illus.) 311 $a3-319-44235-X 311 $a3-319-44236-8 320 $aIncludes bibliographical references and indexes. 327 $aVarieties of Lattices -- Free and Finitely Presented Lattices -- Classes of Semidistributive Lattices -- Lattices of Algebraic Subsets and Implicational Classes -- Convex Geometries -- Bases of Closure Systems -- Permutohedra and Associahedra -- Generalizations of the Permutohedron -- Lattice Theory of the Poset of Regions -- Finite Coxeter Groups and the Weak Order. 330 $aGeorge Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung. 606 $aAlgebra 606 $aOrdered algebraic structures 606 $aConvex geometry  606 $aDiscrete geometry 606 $aPolytopes 606 $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aPolytopes$3https://scigraph.springernature.com/ontologies/product-market-codes/M21040 615 0$aAlgebra. 615 0$aOrdered algebraic structures. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aPolytopes. 615 14$aOrder, Lattices, Ordered Algebraic Structures. 615 24$aConvex and Discrete Geometry. 615 24$aPolytopes. 676 $a511.33 702 $aGrätzer$b George$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWehrung$b Friedrich$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254086603321 996 $aLattice theory$91410318 997 $aUNINA