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

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 316.Publication details: Providence, R.I., USA : American Mathematical Society, 1985.Description: 1 online resource (iii, 62 p. : ill.)ISBN:
  • 9781470407292 (online)
Subject(s): Additional physical formats: Galvin's "racing pawns" game and a well-ordering of trees /DDC classification:
  • 510 s 512/.7 19
LOC classification:
  • QA3 .A57 no. 316 QA248
Online resources:
Contents:
1. Introduction and preliminaries 2. Galvin's original game, the restricted game, and the relations $<_R$ and $\equiv _R$ 3. The explicit strategy for finite trees and the definitions of $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ 4. The explicit strategy for infinite trees and the characterization of $<_R$ and $\equiv _R$ in terms of $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ 5. The structure of the $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ sequences 6. The relationship between $\overset {\rightharpoonup }{F}(X)$ and $\operatorname {rank}(X)$ 7. The main theorem: Order types under $<_R$ 8. Epilogue: Two variants of Galvin's game
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12769

"Volume 53, number 316 (third of 5 numbers)"

Bibliography: p. 63.

1. Introduction and preliminaries 2. Galvin's original game, the restricted game, and the relations $<_R$ and $\equiv _R$ 3. The explicit strategy for finite trees and the definitions of $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ 4. The explicit strategy for infinite trees and the characterization of $<_R$ and $\equiv _R$ in terms of $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ 5. The structure of the $\overset {\rightharpoonup }{E}$ and $\overset {\rightharpoonup }{F}$ sequences 6. The relationship between $\overset {\rightharpoonup }{F}(X)$ and $\operatorname {rank}(X)$ 7. The main theorem: Order types under $<_R$ 8. Epilogue: Two variants of Galvin's game

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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