On topological properties of families of finite sets

Details On topological properties of families of finite sets On topological properties of families of finite sets

2011-04-20

arxiv.org/abs/1104.3930v1

Mathematics

Combinatorics

Scientific paper

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.

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