Conway names, the simplicity hierarchy and the surreal number tree
نویسنده
چکیده
Each surreal number has a unique Conway name (or normal form) that is characteristic of its individual properties. The paper answers the following two questions that are naturally suggested by the surreal number system’s structure as a lexicographically ordered full binary tree. (i) Given the Conway name of a surreal number, what are the Conway names of its two immediate successors? (ii) Given the Conway names of the members of a chain of surreal numbers of limit length, what is the Conway name of the immediate successor of the chain? 2000 Mathematics Subject Classification 06.A05, 06A.06, 06F.25, 12.J15 (primary); 03E10, 03H05 (secondary)
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ورودعنوان ژورنال:
- J. Logic & Analysis
دوره 3 شماره
صفحات -
تاریخ انتشار 2011