Sets and Ordered Structures

Indexed in: Scopus, Zentralblatt MATH, EBSCO

This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and ...
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Ordered Sets

Pp. 45-82 (38)

DOI: 10.2174/978160805338411201010045

Author(s): Sergiu Rudeanu


As explained in the Preface, the concept of order is a tool used in mathematics both in its more general form and under certain supplementary conditions. This chapter first deals with partially ordered sets at the general level, then with totally ordered sets and well-ordered sets, thus beginning the specialization line which leads to ordinals (to be studied in the next chapter)....