Mathematical logic and foundations Ordinals and cardinals Concept
Regular cardinal
Summary
A regular cardinal is an infinite cardinal that cannot be reached by fewer smaller steps than itself: its cofinality equals itself. An infinite cardinal that is not regular is singular. Regular cardinals are the natural setting for clubs, stationary sets and much of infinite combinatorics, and the precise definition is short.
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| Tag | 13ZV2F8JAR |
|---|---|
| URI | m2://13ZV2F8JAR |
| Kind | concept |
| Writing | W0 stub |
| MSC | 03E10, 03E04 |
| Specializes | Cardinal number |
| Same as | |
| Changed | 2 November 2026 |
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