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Is there a way to setup such a rule in ArcMap 10 Topology that Line Feature Class features shouldn't overlap with Polygon Feature Class features?

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up vote 2 down vote accepted

If you are asking about map topology, which is available for working with shared geometry, then it does not support rules like the one you are after.

For that you would need geodatabase topology rules, and an ArcEditor/Standard (or ArcInfo/Advanced) license to create it.

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