## Dubrovnik VI – Geometric Topology## September 30 – October 7, 2007 |
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## ABSTRACTS |
pdf-version of this abstract |

## Iztok Banič

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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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