LEADER 02391nam 2200589 450 001 9910817129003321 005 20170821172536.0 010 $a1-4704-0729-9 035 $a(CKB)3360000000464500 035 $a(EBL)3113944 035 $a(SSID)ssj0000973549 035 $a(PQKBManifestationID)11529947 035 $a(PQKBTitleCode)TC0000973549 035 $a(PQKBWorkID)10984404 035 $a(PQKB)11183872 035 $a(MiAaPQ)EBC3113944 035 $a(RPAM)4260607 035 $a(PPN)195411978 035 $a(EXLCZ)993360000000464500 100 $a20140909h19851985 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGalvin's "racing pawns" game and a well-ordering of trees /$fS. B. Grantham 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1985. 210 4$d©1985 215 $a1 online resource (73 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 316 300 $a"January 1985, Volume 53, Number 316 (third of 5 numbers)." 311 $a0-8218-2317-5 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""1. Introduction and Preliminaries""; ""2. Galvin's Original Game, the Restricted Game, and the Relations <[sub(R)] and a??¡[sub(R)] ""; ""3. The Explicit Strategy for Finite Trees and the Definitions of E and F""; ""4. The Explicit Strategy for Infinite Trees and the Characterization of<[sub(R)] and a??¡[sub(R)] in Terms of E and F""; ""5. The Structure of the E and F Sequences""; ""6. The Relationship Between F(x) and Rank(x)""; ""7. The Main Theorem: Order Types Under <[sub(R)]""; ""8. Epilogue: Two Variants of Galvin's Game"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 316. 606 $aTransfinite numbers 606 $aTrees (Graph theory) 606 $aOrdered sets 606 $aGame theory 615 0$aTransfinite numbers. 615 0$aTrees (Graph theory) 615 0$aOrdered sets. 615 0$aGame theory. 676 $a512/.7 700 $aGrantham$b S. B$g(Stephen B.),$f1957-$01609436 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817129003321 996 $aGalvin's "racing pawns" game and a well-ordering of trees$93936710 997 $aUNINA