02391nam 2200589 450 991081712900332120170821172536.01-4704-0729-9(CKB)3360000000464500(EBL)3113944(SSID)ssj0000973549(PQKBManifestationID)11529947(PQKBTitleCode)TC0000973549(PQKBWorkID)10984404(PQKB)11183872(MiAaPQ)EBC3113944(RPAM)4260607(PPN)195411978(EXLCZ)99336000000046450020140909h19851985 uy 0engur|n|---|||||txtccrGalvin's "racing pawns" game and a well-ordering of trees /S. B. GranthamProvidence, Rhode Island :American Mathematical Society,1985.©19851 online resource (73 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 316"January 1985, Volume 53, Number 316 (third of 5 numbers)."0-8218-2317-5 Includes bibliographical references.""Table of Contents""; ""1. Introduction and Preliminaries""; ""2. Galvin's Original Game, the Restricted Game, and the Relations <[sub(R)] and â?¡[sub(R)] ""; ""3. The Explicit Strategy for Finite Trees and the Definitions of E and F""; ""4. The Explicit Strategy for Infinite Trees and the Characterization of<[sub(R)] and â?¡[sub(R)] in Terms of E and F""; ""5. The Structure of the E and F Sequences""; ""6. The Relationship Between F(x) and Rank(x)""; ""7. The Main Theorem: Order Types Under <[sub(R)]""; ""8. Epilogue: Two Variants of Galvin's Game""Memoirs of the American Mathematical Society ;Number 316.Transfinite numbersTrees (Graph theory)Ordered setsGame theoryTransfinite numbers.Trees (Graph theory)Ordered sets.Game theory.512/.7Grantham S. B(Stephen B.),1957-1609436MiAaPQMiAaPQMiAaPQBOOK9910817129003321Galvin's "racing pawns" game and a well-ordering of trees3936710UNINA