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A second countable space is a topological space whose topology is second countable.

The space E of a fiber bundle given by the map f:E->B, where B is the base space of the fiber bundle.

The collection of twistors in Minkowski space that forms a four-dimensional complex vector space.

If X is a normed linear space, then the set of continuous linear functionals on X is called the dual (or conjugate) space of X. When equipped with the norm ...

The sum of sets A and B in a vector space, equal to {a+b:a in A,b in B}.

Let Y^X be the set of continuous mappings f:X->Y. Then the topological space Y^X supplied with the compact-open topology is called a mapping space. If (Y,*) is a pointed ...

A real-linear vector space H equipped with a symplectic form s.

A type of abstract space which occurs in spline and rational function approximations. The Besov space B_(p,q)^alpha is a complete quasinormed space which is a Banach space ...

A pointed space is a topological space X together with a choice of a basepoint x in X. The notation for a pointed space is (X,x). Maps between two pointed spaces must take ...

Let Y^X be the set of continuous mappings f:X->Y. Then the topological space for Y^X supplied with a compact-open topology is called a mapping space.