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The restricted topological group direct product of the group G_(k_nu) with distinct invariant open subgroups G_(0_nu).

A class of knots containing the class of alternating knots. Let c(K) be the link crossing number. Then for knot sum K_1#K_2 which is an adequate knot, ...

In a graph G, two graph vertices are adjacent if they are joined by a graph edge.

A nonhomogeneous linear equation or system of nonhomogeneous linear systems of equations is said to be affine.

The ideal generated by a set in a vector space.

A map projection. The inverse equations for phi are computed by iteration. Let the angle of the projection plane be theta_b. Define a={0 for theta_b=1/2pi; ...

A fundamental result of de Rham cohomology is that the kth de Rham cohomology vector space of a manifold M is canonically isomorphic to the Alexander-Spanier cohomology ...

A field K is said to be algebraically closed if every polynomial with coefficients in K has a root in K.

If an aliquot sequence {s^0(n),s(n),s^2(n),...} for a given n is bounded, it either ends at s(1)=0 or becomes periodic. If the sequence is periodic (or eventually periodic), ...

An impossible hexnut modeled after the impossible torus. The figure above shows three impossible figures: the ambihelical hexnut in the lower left-hand corner, tribox in the ...