03397nam 2200817 a 450 991046555240332120200520144314.03-11-025835-810.1515/9783110258356(CKB)2560000000079412(EBL)835458(OCoLC)772845211(SSID)ssj0000588621(PQKBManifestationID)11336258(PQKBTitleCode)TC0000588621(PQKBWorkID)10651008(PQKB)10778470(MiAaPQ)EBC835458(DE-B1597)124038(OCoLC)1002231622(OCoLC)1004872655(OCoLC)1011447813(OCoLC)1013945572(OCoLC)1037981345(OCoLC)1041984387(OCoLC)1046610920(OCoLC)1047011503(OCoLC)1049637604(OCoLC)1054880301(OCoLC)979588819(OCoLC)987942470(OCoLC)992472035(OCoLC)999373646(DE-B1597)9783110258356(Au-PeEL)EBL835458(CaPaEBR)ebr10527922(CaONFJC)MIL628120(EXLCZ)99256000000007941220110920d2012 uy 0engur|n|---|||||txtccrAlgebra in the Stone-Čech compactification[electronic resource] theory and applications /Neil Hindman, Donna Strauss2nd rev. and extended ed.Berlin ;Boston De Gruyter20121 online resource (609 p.)De Gruyter textbookDescription based upon print version of record.3-11-025623-1 Includes bibliographical references and index.pt. 1. Background development -- pt. 2. Algebra of [beta]S -- pt. 3. Combinatorial applications -- pt. 4. Connections with other structures.This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroups for discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more. De Gruyter textbook.Stone-Čech compactificationTopological semigroupsElectronic books.Stone-Čech compactification.Topological semigroups.514/.32SK 340rvkHindman Neil1943-1044050Strauss Dona1934-1044051MiAaPQMiAaPQMiAaPQBOOK9910465552403321Algebra in the Stone-Čech compactification2469442UNINA03005nam 2200649 450 991048390530332120210218181636.01-280-86407-997866108640723-540-71807-910.1007/978-3-540-71807-9(CKB)1000000000282913(EBL)3036691(SSID)ssj0000307388(PQKBManifestationID)11212496(PQKBTitleCode)TC0000307388(PQKBWorkID)10244780(PQKB)11463391(DE-He213)978-3-540-71807-9(MiAaPQ)EBC3036691(MiAaPQ)EBC6351769(PPN)123161606(EXLCZ)99100000000028291320210218d2007 uy 0engur|n|---|||||txtccrPunctured torus groups and 2-bridge knot groups (I). /Hirotaka Akiyoshi1st ed. 2007.Berlin, Germany ;New York, New York :Springer,[2007]©20071 online resource (xliii, 252 p.)Lecture notes in mathematics ;1909Description based upon print version of record.3-540-71806-0 978-3-540-71806-2 Includes bibliographical references (pages [239]-243) and index.Jorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots.This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology. In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.Lecture notes in mathematics (Springer-Verlag) ;1909.Torus (Geometry)Knot theoryKleinian groupsTorus (Geometry)Knot theory.Kleinian groups.515.93Akiyoshi HirotakaMiAaPQMiAaPQMiAaPQBOOK9910483905303321Punctured torus groups and 2-bridge knot groups (I230605UNINA