Skip to main content
Article thumbnail
Location of Repository

On topological properties of families of finite sets

By Claribet Piña and Carlos Uzcátegui

Abstract

We present results about the Cantor-Bendixson index of some subspaces of a uniform family F of finite subsets of natural numbers with respect to the lexicographic order topology. As a corollary of our results we get that for any omega-uniform family F the restriction F|M is homeomorphic to F iff M contains intervals of arbitrary length of consecutive integers. We show the connection of these results with a topological partition problem of uniform families

Topics: Mathematics - Combinatorics, Primary 03E02, Secondary 05D10
Year: 2015
OAI identifier: oai:arXiv.org:1104.3930
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.3930 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.