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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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A family of trees of size \aleph1 with no uncountable branches
by
Mirna Dzamonja
University of East Anglia
Coauthors: Jouko Vaananen

We shall present a construction of a family of trees as in the title of size the continuum where the trees in question each are connected to a subset of \omega, so that for any two distinct subsets of \omega the associated trees are strongly incompatible. We shall show how this family was used in obtaining the negative universality results about the associated family of trees, and then ask if the construction of the trees can be useful in topology.

Date received: February 9, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajz-22.