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An algebraic variety over a field K that becomes isomorphic to a projective space.

A subset of a topological space is called clopen if it is both closed and open.

A subset of a topological space which is compact with respect to the relative topology.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

A nonsimply connected 3-manifold, also called a dodecahedral space.

The hypothesis is that, for X is a measure space, f_n(x)->f(x) for each x in X, as n->infty. The hypothesis may be weakened to almost everywhere convergence.

A local-ringed space which is locally isomorphic to an affine scheme.

Let |z| be a vector norm of a vector z such that ||A||=max_(|z|=1)||Az||. Then ||A|| is a matrix norm which is said to be the natural norm induced (or subordinate) to the ...

The angle of incidence of a ray to a surface is measured as the difference in angle between the ray and the normal vector of the surface at the point of intersection.

Two curves which, at any point, have a common principal normal vector are called Bertrand curves. The product of the torsions of Bertrand curves is a constant.