Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Galvin’s “Racing Pawns” Game and a WellOrdering of Trees
Available Formats:
Electronic ISBN: 9781470407292
Product Code: MEMO/53/316.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
Click above image for expanded view
Galvin’s “Racing Pawns” Game and a WellOrdering of Trees
Available Formats:
Electronic ISBN:  9781470407292 
Product Code:  MEMO/53/316.E 
List Price:  $23.00 
MAA Member Price:  $20.70 
AMS Member Price:  $13.80 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 53; 1985; 63 ppMSC: Primary 03; Secondary 05; 06; 90;

Table of Contents

Chapters

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


RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 53; 1985; 63 pp
MSC: Primary 03; Secondary 05; 06; 90;

Chapters

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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.