Classifier Instance:

Anchor text: Riemannian manifold
Target Entity: Riemannian_manifold
Preceding Context: In modern mathematics, Euclidean spaces form the prototypes for other, more complicated geometric objects. For example, a smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space. Diffeomorphism does not respect distance and angle, so these key concepts of Euclidean geometry are lost on a smooth manifold. However, if one additionally prescribes a smoothly varying inner product on the manifold's tangent spaces, then the result is what is called a
Succeeding Context: . Put differently, a Riemannian manifold is a space constructed by deforming and patching together Euclidean spaces. Such a space enjoys notions of distance and angle, but they behave in a curved, non-Euclidean manner. The simplest Riemannian manifold, consisting of R n with a constant inner product, is essentially identical to Euclidean n-space itself.
Paragraph Title: Generalizations
Source Page: Euclidean space

Ground Truth Types:

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|  |---yagoGeoEntity
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|  |  |  |---wordnet_structure_104341686_rest

Predicted Types:

TypeConfidenceDecision
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wordnet_way_104564698-1.3176725754309961 0
wordnet_land_109334396-1.6135645021685814 0
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|  |  |  |---wordnet_housing_103546340
|  |  |  |---wordnet_building_complex_102914991
|  |  |  |---wordnet_establishment_103297735
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|  |  |---wordnet_creation_103129123
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|  |  |---wordnet_way_104564698
|  |  |---wordnet_covering_103122748
|  |---wordnet_event_100029378
|  |---wordnet_organization_108008335
|  |---wordnet_person_100007846
|  |---yagoGeoEntity
|  |  |---wordnet_location_100027167
|  |  |---wordnet_structure_104341686
|  |  |  |---wordnet_building_102913152
|  |  |  |---wordnet_memorial_103743902
|  |  |  |---wordnet_housing_103546340
|  |  |  |---wordnet_building_complex_102914991
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