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A topological space X fulfils the T1-separation axiom and is normal. A space fulfilling the T_4-separation axiom is said to be a T4-space.
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.
The kernel of a linear transformation T:V-->W between vector spaces is its null space.
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.
A subset M of a Hilbert space H is a linear manifold if it is closed under addition of vectors and scalar multiplication.
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