In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
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Question: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

Answer: Science


Question: During this dynasty, painting and sculpture flourished, as seen in the production of its famous eponymous horses. Buddhism was suppressed and monasteries dissolved during the Hu-chiang period, while its greatest territorial expansions occurred under Hsuan Tsung, whose ambitions were finally checked by the Arabs at the Talas River. Great decline occurred after the An Lu-Shan rebellion, which served as subject material for its great poets, including Tu Fu and Li Po. FTP, what was this 618-907 Chinese dynasty whose name is now associated with astronauts

Answer: History


Question: The winning side in this battle took up position at the New Park, while a significant contingent of "camp-followers" stayed in secret reserve at Coxet Hill. Six years after the battle came the issuance of the Declaration of Arbroath, which was sent to Pope John XXII. It occurred after a pact between the brother of the winning side's king and Philip Mowbray, the local commander of a castle under siege, after which a force of Thomas Randolph was victorious in skirmish with Robert Clifford and Henry Beaumont. More famous for the heroic slaying of Henry de Bohun, the victors forced a hasty retreat by Edward II. FTP, name this 1314 battle which secured Scottish independence, a victory for Robert de Bruce.

Answer:
History