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A fiber space, depending on context, means either a fiber bundle or a fibration.

Two nonsingular forms are equivalent over the rationals iff they have the same determinant and the same p-signatures for all p.

A basis of a modular system M is any set of polynomials B_1, B_2, ... of M such that every polynomial of M is expressible in the form R_1B_1+R_2B_2+..., where R_1, R_2, ... ...

Always increasing; never remaining constant or decreasing. Also called strictly increasing.

One of the four 5-polyiamonds are called pentiamonds.

A sum over all cluster perimeters.

One of the four 3-polyaboloes.

A group action G×Omega->Omega might preserve a special kind of partition of Omega called a system of blocks. A block is a subset Delta of Omega such that for any group ...

Given a finitely generated Z-graded module M over a graded ring R (finitely generated over R_0, which is an Artinian local ring), the Hilbert function of M is the map ...

Abstract Algebra