Gong Xue
Abstract
The passage gives out the definition of hyperspace endowed with extended Hausdorff metric,and discussed some properties in the space.It also gives conditions for compact or strongly compact of sub-space,extending the research about hyperspace.
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The passage gives out the definition of hyperspace endowed with extended Hausdorff metric,and discussed some properties in the space.It also gives conditions for compact or strongly compact of sub-space,extending the research about hyperspace.
Key concepts: Hyperspace, Hausdorff distance, Metric space, Hausdorff space, Mathematics, Urysohn and completely Hausdorff spaces, Pure mathematics, Space (punctuation)