# Difference between revisions of "Cellar"

From Cantor's Attic

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* [[cardinality]] | * [[cardinality]] | ||

* [[axiom of choice]] | * [[axiom of choice]] | ||

− | |||

* [[stationary]], [[club]] | * [[stationary]], [[club]] | ||

− | * [[Hereditary | + | * [[Hereditary cardinality]] |

* [[ultrafilter]], [[measure]] | * [[ultrafilter]], [[measure]] | ||

* [[ultrapower]] | * [[ultrapower]] | ||

+ | |||

+ | == Axiomatic set theories == | ||

+ | |||

+ | * [[Morse-Kelley set theory]] | ||

+ | * [[ZFC|Zermelo-Fraenkel set theory]] | ||

+ | * [[Positive set theory]] | ||

+ | * [[Kriple-Platek|Kriple-Platek set theory]] | ||

== Forcing == | == Forcing == | ||

Line 33: | Line 39: | ||

* [[Boolean ultrapowers]] | * [[Boolean ultrapowers]] | ||

− | + | == Canonical inner models == | |

− | == Canonical inner models == | + | |

* The [[core model]] | * The [[core model]] |

## Revision as of 14:56, 14 November 2017

This page will contain links to summary accounts of supporting foundational or background material used on the rest of the site.

You may like to begin in the playroom for an entertaining introduction to infinity.

Meanwhile, we expect that this page and these resources will be expanded as Cantor's attic develops.

## Contents

## Definition of infinity

- Short informal presentation of the concept of infinity

## Elementary set-theoretic topics

- transitive
- Basic Order Theory
- ordinal
- successor ordinal
- limit ordinal
- cardinality
- axiom of choice
- stationary, club
- Hereditary cardinality
- ultrafilter, measure
- ultrapower

## Axiomatic set theories

## Forcing

## Canonical inner models

- The core model
- The canonical model $L[\mu]$ of one measurable cardinal
- HOD
- The constructible universe

This article is a stub. Please help us to improve Cantor's Attic by adding information.