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locally Euclidean space

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noun Mathematics.

a topological space in which each point has a neighborhood that is homeomorphic to an open set in a Euclidean space of specified dimension.

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Based on the Random House Dictionary, © Random House, Inc. 2012.
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"Certainly the philosopher of 'possible worlds' must take care that his technical apparatus not push him to ask questions whose meaningfulness is not supported by our original intuitions of possibility that gave the apparatus its point."

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