Search Results for ""

If A is a unital Banach algebra where every nonzero element is invertible, then A is the algebra of complex numbers.

A continuous group G which has the topology of a T2-space is a topological group. The simplest example is the group of real numbers under addition. The homeomorphism group of ...

A unar is an algebra A=(A,f), where f is a single unary operation.

A set considered together with the sigma-algebra on the set.

A set equipped with a sigma-algebra of subsets.

If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

For any sequence of integers 0<n_1<...<n_k, there is a flag manifold of type (n_1, ..., n_k) which is the collection of ordered sets of vector subspaces of R^(n_k) (V_1, ..., ...

A homogeneous space M is a space with a transitive group action by a Lie group. Because a transitive group action implies that there is only one group orbit, M is isomorphic ...

If three circles A, B, and C are taken in pairs, the external similarity points of the three pairs lie on a straight line. Similarly, the external similarity point of one ...

Let a, b, and c be the side lengths of a reference triangle DeltaABC. Now let A_b be a point on the extension of the segment CA beyond A such that AA_b=a. Similarly, define ...