Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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ABSTRACTS

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Iztok Banič
University of Maribor, Slovenia

Inverse limits as limits with respect to the Hausdorff metric

We show, using inverse limits of inverse sequences of compact metric spaces and upper semi-continuous multivalued bonding functions, that the inverse limit of any inverse sequence of compact metric spaces and surjective bonding maps is in fact the limit of a sequence of homeomorphic copies of the same spaces in certain ambient space with respect to the Hausdorff metric.
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