| Description |
ix, 168 pages : illustrations ; 23 cm |
| Contents |
Machine generated contents note: 1.Preliminaries -- 2.ZFC -- 3.Order -- 3.1.Wellorderings -- 3.2.Ordinal numbers -- 3.3.Ordinal arithmetic -- 4.Cardinality -- 4.1.Cardinal numbers -- 4.2.Cardinal arithmetic -- 4.3.Cofinality -- 5.Trees -- 5.1.Topology fundamentals -- 5.2.The Baire space -- 5.3.Illfounded and wellfounded trees -- 5.4.Infinite games -- 5.5.Ramsey theory -- 5.6.Trees of uncountable height -- 6.Dense linear orderings -- 6.1.Definitions and examples -- 6.2.Rational numbers -- 6.3.Real numbers -- 7.Filters and ideals -- 7.1.Motivation and definitions -- 7.2.Club and stationary sets |
| Summary |
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed |
| Notes |
Formerly CIP. Uk |
| Bibliography |
Includes bibliographical references (page [166]) and index |
| Notes |
Description based on print version record |
| Subject |
Set theory -- Problems, exercises, etc.
|
|
Set theory.
|
| Genre/Form |
Problems and exercises.
|
| LC no. |
2011275222 |
| ISBN |
1107008174 |
|
1107400481 |
|
9781107008175 |
|
9781107400481 |
|
