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Well Ordered Sets

  • Yiannis N. Moschovakis
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

A well ordered set1 is a poset
$$U = (Field(U),{ \leqslant _U})$$
where U is a wellordering on Field(U), i.e. a linear (total) ordering on Field(U) such that every non-empty XField(U) has a least member. Associated with U is also its strict ordering < U ,
$$x < y \Leftrightarrow x{ < _U}y{ \Leftrightarrow _{df}}x{ \leqslant _U}y\& x \ne y$$
.

Keywords

Limit Point Monotone Mapping Initial Segment Expansive Mapping Successor Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Yiannis N. Moschovakis
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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