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Topological lower bounds in terms of Betti numbers for the number of critical points form a smooth function on a smooth manifold.

A strong inequality in which a is not only less than b, but much less (by some convention) is denoted a<<b.

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

A mathematical object S is said to be multiplicatively closed if a,b in S implies that ab in S.

The Greek word for 10000.

A 10000-sided polygon.

One of the two pieces of a double cone (i.e., two cones placed apex to apex).

An unknot which can only be unknotted by first increasing the number of crossings.

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

Approximates the possible values of y in terms of x if sum_(i,j=0)^na_(ij)x^iy^j=0.