Dubrovnik VI – Geometric TopologySeptember 30 – October 7, 2007 |
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ABSTRACTS |
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Iztok Banič
University of Maribor, SloveniaInverse 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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