## Abstract

We find universal functions for the class of lower semi-continuous (LSC) functions with at most n-dimensional domain. In an earlier paper we proved that a space is almost n-dimensional if and only if it is homeomorphic to the graph of an LSC function with an at most n-dimensional domain. We conclude that the class of almost n-dimensional spaces contains universal elements (that are topologically complete). These universal spaces can be thought of as higher-dimensional analogues of complete Erdös space. © 2007 American Mathematical Society Reverts to public domain 28 years from publication.

Original language | English |
---|---|

Pages (from-to) | 2623-2628 (electronic) |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 135 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2007 |