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

A Hermitian inner product space is a complex vector space with a Hermitian inner product.

In a chain complex of modules ...->C_(i+1)->^(d_(i+1))C_i->^(d_i)C_(i-1)->... the module Z_i of i-cycles is the kernel of d_i, which is a submodule of C_i.

The axis in the complex plane corresponding to zero real part, R[z]=0.

Let K be a finite complex, let h:|K|->|K| be a continuous map. If Lambda(h)!=0, then h has a fixed point.

An algorithm which isolates roots in the complex plane by generalizing one-dimensional bracketing.

A simplicial complex K is said to be locally finite if each vertex of K belongs only to finitely many simplices of K.

The unit lower half-disk is the portion of the complex plane satisfying {|z|<=1,I[z]<0}.

The simplicial complex formed from a family of objects by taking sets that have nonempty intersections.

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