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.

[Q]: In this novel, Lebezyatnikov exposes another character after he slips a hundred-ruble note in a girl's pocket. This novel's protagonist refuses copying work given to him by his university friend Razumikhin, and he also receives a letter from his mother Pulkheria telling of his sister's engagement to Luzhin. Porfiry Petrovich mistakenly (*) investigates a pair of painters in this novel, not long after Alyona Ivanova and Lizaveta are found murdered. For ten points, identify this novel in which the creepy Svidrigailov and prostitute Sonya make the acquaintance of Raskolnikov, who murdered a pawnbroker with an axe, a work of Fyodor Dostoevsky.
[A]: Literature


[Q]: 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.
[A]: Science


[Q]: In ferromagnetic materials, a version of this effect occurs in which the resultant resistivity predicted by this effect contains an additional zero-field term proportional to the magnetization. Arranging two solid-state elements which demonstrate this effect at right angles to each other and summing their output voltage to eliminate the noise is a typical way of producing a magnetic field sensor using this effect. This effect is derived by noting that the current crossed with the magnetic field creates a transverse current, which results in a potential difference. For ten points, identify this classical effect in which charge flowing across a transverse magnetic field results in an electric field component orthogonal to both the current and the magnetic field, often used to measure the sign of charge carriers.
[A]:
Science