1.

Record Nr.

UNINA9910817129003321

Autore

Grantham S. B (Stephen B.), <1957->

Titolo

Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1985

©1985

ISBN

1-4704-0729-9

Descrizione fisica

1 online resource (73 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 316

Disciplina

512/.7

Soggetti

Transfinite numbers

Trees (Graph theory)

Ordered sets

Game theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1985, Volume 53, Number 316 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""