For more information about this meeting, contact Stephen Simpson.

Title: | Large cardinals and general topology |

Seminar: | Logic Seminar |

Speaker: | Peter Nyikos, University of South Carolina |

Abstract: |

Some axioms of set theory related to large cardinal numbers,
and their effects on topology, will be discussed. Some very useful
combinatorial axioms require us to assume the consistency of very
large cardinals; others are so durable that it requires the
consistency of very large cardinals to negate them. One pair of
recent contrasting theorems involves the following problem: if a compact
Hausdorff space has a dense subspace of cardinality strictly less
than the space itself, must it have an uncountable subspace with
a countable dense subspace? |

### Room Reservation Information

Room Number: | MB315 |

Date: | 09 / 11 / 2008 |

Time: | 09:30am - 10:45am |