TY  - BOOK
AU  - Grantham,Stephen B.
TI  - Galvin's Racing Pawns Game and a Well-Ordering of Trees
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407292
AV  - QA248 -- .G736 1985eb 
U1  - 512/.7 
PY  - 1985///
CY  - Providence
PB  - American Mathematical Society
KW  - Transfinite numbers
KW  - Trees (Graph theory)
KW  - Ordered sets
KW  - Game theory
KW  - Electronic books
N1  - Intro -- Table of Contents -- 1. Introduction and Preliminaries -- 2. Galvin's Original Game, the Restricted Game, and the Relations &lt -- [sub(R)] and ≡[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&lt -- [sub(R)] and ≡[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 &lt -- [sub(R)] -- 8. Epilogue: Two Variants of Galvin's Game
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113944
ER  -